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Finding the Fourth Proportional to 142,553.08, 213,877.11 and 47,792.63

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Solution

The fourth proportional to 142,553.08, 213,877.11 and 47,792.63 is: 71,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,553.08 : 213,877.11 = 47,792.63 : x
  2. Step 2: Convert to fraction form
    142,553.08/213,877.11 = 47,792.63/x
  3. Step 3: Cross multiply
    142,553.08x = 213,877.11 × 47,792.63
  4. Step 4: Simplify right side
    142,553.08x = 10,221,749,583.70
  5. Step 5: Solve for x
    x = 10,221,749,583.70/142,553.08
  6. Step 6: Final answer
    x = 71,704.87

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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.