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Finding the Fourth Proportional to 52,084.32, 71,877.04 and 29,113.14

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Solution

The fourth proportional to 52,084.32, 71,877.04 and 29,113.14 is: 40,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.32 : 71,877.04 = 29,113.14 : x
  2. Step 2: Convert to fraction form
    52,084.32/71,877.04 = 29,113.14/x
  3. Step 3: Cross multiply
    52,084.32x = 71,877.04 × 29,113.14
  4. Step 4: Simplify right side
    52,084.32x = 2,092,566,328.31
  5. Step 5: Solve for x
    x = 2,092,566,328.31/52,084.32
  6. Step 6: Final answer
    x = 40,176.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.