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Finding the Fourth Proportional to 57,862.64, 86,734.43 and 26,294.66

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Solution

The fourth proportional to 57,862.64, 86,734.43 and 26,294.66 is: 39,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862.64 : 86,734.43 = 26,294.66 : x
  2. Step 2: Convert to fraction form
    57,862.64/86,734.43 = 26,294.66/x
  3. Step 3: Cross multiply
    57,862.64x = 86,734.43 × 26,294.66
  4. Step 4: Simplify right side
    57,862.64x = 2,280,652,347.14
  5. Step 5: Solve for x
    x = 2,280,652,347.14/57,862.64
  6. Step 6: Final answer
    x = 39,414.94

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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.