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Finding the Fourth Proportional to 71,547.71, 107,323.85 and 35,989.61

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Solution

The fourth proportional to 71,547.71, 107,323.85 and 35,989.61 is: 53,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.71 : 107,323.85 = 35,989.61 : x
  2. Step 2: Convert to fraction form
    71,547.71/107,323.85 = 35,989.61/x
  3. Step 3: Cross multiply
    71,547.71x = 107,323.85 × 35,989.61
  4. Step 4: Simplify right side
    71,547.71x = 3,862,543,058.55
  5. Step 5: Solve for x
    x = 3,862,543,058.55/71,547.71
  6. Step 6: Final answer
    x = 53,985.56

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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.