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Finding the Fourth Proportional to 41,715.78, 57,569.16 and 22,854.12

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Solution

The fourth proportional to 41,715.78, 57,569.16 and 22,854.12 is: 31,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715.78 : 57,569.16 = 22,854.12 : x
  2. Step 2: Convert to fraction form
    41,715.78/57,569.16 = 22,854.12/x
  3. Step 3: Cross multiply
    41,715.78x = 57,569.16 × 22,854.12
  4. Step 4: Simplify right side
    41,715.78x = 1,315,692,490.94
  5. Step 5: Solve for x
    x = 1,315,692,490.94/41,715.78
  6. Step 6: Final answer
    x = 31,539.44

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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.