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Finding the Fourth Proportional to 47,432.40, 71,071.80 and 29,870.80

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Solution

The fourth proportional to 47,432.40, 71,071.80 and 29,870.80 is: 44,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,432.40 : 71,071.80 = 29,870.80 : x
  2. Step 2: Convert to fraction form
    47,432.40/71,071.80 = 29,870.80/x
  3. Step 3: Cross multiply
    47,432.40x = 71,071.80 × 29,870.80
  4. Step 4: Simplify right side
    47,432.40x = 2,122,971,523.44
  5. Step 5: Solve for x
    x = 2,122,971,523.44/47,432.40
  6. Step 6: Final answer
    x = 44,757.83

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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.