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Finding the Fourth Proportional to 57,132.77, 78,833.85 and 35,897

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Solution

The fourth proportional to 57,132.77, 78,833.85 and 35,897 is: 49,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.77 : 78,833.85 = 35,897 : x
  2. Step 2: Convert to fraction form
    57,132.77/78,833.85 = 35,897/x
  3. Step 3: Cross multiply
    57,132.77x = 78,833.85 × 35,897
  4. Step 4: Simplify right side
    57,132.77x = 2,829,898,713.45
  5. Step 5: Solve for x
    x = 2,829,898,713.45/57,132.77
  6. Step 6: Final answer
    x = 49,531.97

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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.