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Finding the Fourth Proportional to 57,265.60, 85,898.40 and 24,023.20

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Solution

The fourth proportional to 57,265.60, 85,898.40 and 24,023.20 is: 36,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,265.60 : 85,898.40 = 24,023.20 : x
  2. Step 2: Convert to fraction form
    57,265.60/85,898.40 = 24,023.20/x
  3. Step 3: Cross multiply
    57,265.60x = 85,898.40 × 24,023.20
  4. Step 4: Simplify right side
    57,265.60x = 2,063,554,442.88
  5. Step 5: Solve for x
    x = 2,063,554,442.88/57,265.60
  6. Step 6: Final answer
    x = 36,034.80

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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.