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Finding the Fourth Proportional to 57,689.16, 86,614.23 and 29,628.59

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Solution

The fourth proportional to 57,689.16, 86,614.23 and 29,628.59 is: 44,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689.16 : 86,614.23 = 29,628.59 : x
  2. Step 2: Convert to fraction form
    57,689.16/86,614.23 = 29,628.59/x
  3. Step 3: Cross multiply
    57,689.16x = 86,614.23 × 29,628.59
  4. Step 4: Simplify right side
    57,689.16x = 2,566,257,020.21
  5. Step 5: Solve for x
    x = 2,566,257,020.21/57,689.16
  6. Step 6: Final answer
    x = 44,484.21

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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.