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Finding the Fourth Proportional to 47,337.71, 71,016.29 and 19,257.70

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Solution

The fourth proportional to 47,337.71, 71,016.29 and 19,257.70 is: 28,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,337.71 : 71,016.29 = 19,257.70 : x
  2. Step 2: Convert to fraction form
    47,337.71/71,016.29 = 19,257.70/x
  3. Step 3: Cross multiply
    47,337.71x = 71,016.29 × 19,257.70
  4. Step 4: Simplify right side
    47,337.71x = 1,367,609,956.56
  5. Step 5: Solve for x
    x = 1,367,609,956.56/47,337.71
  6. Step 6: Final answer
    x = 28,890.50

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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.