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Finding the Fourth Proportional to 57,132.60, 85,698.90 and 40,511.40

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Solution

The fourth proportional to 57,132.60, 85,698.90 and 40,511.40 is: 60,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.60 : 85,698.90 = 40,511.40 : x
  2. Step 2: Convert to fraction form
    57,132.60/85,698.90 = 40,511.40/x
  3. Step 3: Cross multiply
    57,132.60x = 85,698.90 × 40,511.40
  4. Step 4: Simplify right side
    57,132.60x = 3,471,782,417.46
  5. Step 5: Solve for x
    x = 3,471,782,417.46/57,132.60
  6. Step 6: Final answer
    x = 60,767.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.