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Finding the Fourth Proportional to 38,442.60, 57,710.70 and 24,402.60

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Solution

The fourth proportional to 38,442.60, 57,710.70 and 24,402.60 is: 36,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.60 : 57,710.70 = 24,402.60 : x
  2. Step 2: Convert to fraction form
    38,442.60/57,710.70 = 24,402.60/x
  3. Step 3: Cross multiply
    38,442.60x = 57,710.70 × 24,402.60
  4. Step 4: Simplify right side
    38,442.60x = 1,408,291,127.82
  5. Step 5: Solve for x
    x = 1,408,291,127.82/38,442.60
  6. Step 6: Final answer
    x = 36,633.61

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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.