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Finding the Fourth Proportional to 76,397.68, 114,593.99 and 31,417.48

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Solution

The fourth proportional to 76,397.68, 114,593.99 and 31,417.48 is: 47,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397.68 : 114,593.99 = 31,417.48 : x
  2. Step 2: Convert to fraction form
    76,397.68/114,593.99 = 31,417.48/x
  3. Step 3: Cross multiply
    76,397.68x = 114,593.99 × 31,417.48
  4. Step 4: Simplify right side
    76,397.68x = 3,600,253,815.98
  5. Step 5: Solve for x
    x = 3,600,253,815.98/76,397.68
  6. Step 6: Final answer
    x = 47,125.18

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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.