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Finding the Fourth Proportional to 41,657.61, 57,451.16 and 29,534.15

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Solution

The fourth proportional to 41,657.61, 57,451.16 and 29,534.15 is: 40,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.61 : 57,451.16 = 29,534.15 : x
  2. Step 2: Convert to fraction form
    41,657.61/57,451.16 = 29,534.15/x
  3. Step 3: Cross multiply
    41,657.61x = 57,451.16 × 29,534.15
  4. Step 4: Simplify right side
    41,657.61x = 1,696,770,742.19
  5. Step 5: Solve for x
    x = 1,696,770,742.19/41,657.61
  6. Step 6: Final answer
    x = 40,731.35

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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.