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Finding the Fourth Proportional to 76,494.96, 114,496.74 and 40,867.20

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Solution

The fourth proportional to 76,494.96, 114,496.74 and 40,867.20 is: 61,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.96 : 114,496.74 = 40,867.20 : x
  2. Step 2: Convert to fraction form
    76,494.96/114,496.74 = 40,867.20/x
  3. Step 3: Cross multiply
    76,494.96x = 114,496.74 × 40,867.20
  4. Step 4: Simplify right side
    76,494.96x = 4,679,161,172.93
  5. Step 5: Solve for x
    x = 4,679,161,172.93/76,494.96
  6. Step 6: Final answer
    x = 61,169.54

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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.