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Finding the Fourth Proportional to 76,121,297.16, 114,229,978.06 and 32,401,986.18

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Solution

The fourth proportional to 76,121,297.16, 114,229,978.06 and 32,401,986.18 is: 48,623,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121,297.16 : 114,229,978.06 = 32,401,986.18 : x
  2. Step 2: Convert to fraction form
    76,121,297.16/114,229,978.06 = 32,401,986.18/x
  3. Step 3: Cross multiply
    76,121,297.16x = 114,229,978.06 × 32,401,986.18
  4. Step 4: Simplify right side
    76,121,297.16x = 3,701,278,170,441,823.50
  5. Step 5: Solve for x
    x = 3,701,278,170,441,823.50/76,121,297.16
  6. Step 6: Final answer
    x = 48,623,424.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.