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Finding the Fourth Proportional to 57,129.60, 85,694.40 and 42,403.80

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Solution

The fourth proportional to 57,129.60, 85,694.40 and 42,403.80 is: 63,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.60 : 85,694.40 = 42,403.80 : x
  2. Step 2: Convert to fraction form
    57,129.60/85,694.40 = 42,403.80/x
  3. Step 3: Cross multiply
    57,129.60x = 85,694.40 × 42,403.80
  4. Step 4: Simplify right side
    57,129.60x = 3,633,768,198.72
  5. Step 5: Solve for x
    x = 3,633,768,198.72/57,129.60
  6. Step 6: Final answer
    x = 63,605.70

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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.