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Finding the Fourth Proportional to 47,158.70, 70,694.08 and 32,374.58

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Solution

The fourth proportional to 47,158.70, 70,694.08 and 32,374.58 is: 48,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158.70 : 70,694.08 = 32,374.58 : x
  2. Step 2: Convert to fraction form
    47,158.70/70,694.08 = 32,374.58/x
  3. Step 3: Cross multiply
    47,158.70x = 70,694.08 × 32,374.58
  4. Step 4: Simplify right side
    47,158.70x = 2,288,691,148.49
  5. Step 5: Solve for x
    x = 2,288,691,148.49/47,158.70
  6. Step 6: Final answer
    x = 48,531.68

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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.