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Finding the Fourth Proportional to 42,387.60, 58,432.42 and 32,298.54

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Solution

The fourth proportional to 42,387.60, 58,432.42 and 32,298.54 is: 44,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387.60 : 58,432.42 = 32,298.54 : x
  2. Step 2: Convert to fraction form
    42,387.60/58,432.42 = 32,298.54/x
  3. Step 3: Cross multiply
    42,387.60x = 58,432.42 × 32,298.54
  4. Step 4: Simplify right side
    42,387.60x = 1,887,281,854.67
  5. Step 5: Solve for x
    x = 1,887,281,854.67/42,387.60
  6. Step 6: Final answer
    x = 44,524.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.