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Finding the Fourth Proportional to 76,466.96, 114,534.12 and 36,940.88

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Solution

The fourth proportional to 76,466.96, 114,534.12 and 36,940.88 is: 55,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.96 : 114,534.12 = 36,940.88 : x
  2. Step 2: Convert to fraction form
    76,466.96/114,534.12 = 36,940.88/x
  3. Step 3: Cross multiply
    76,466.96x = 114,534.12 × 36,940.88
  4. Step 4: Simplify right side
    76,466.96x = 4,230,990,610.16
  5. Step 5: Solve for x
    x = 4,230,990,610.16/76,466.96
  6. Step 6: Final answer
    x = 55,330.97

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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.