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Finding the Fourth Proportional to 142,552.70, 213,876.56 and 47,792.26

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Solution

The fourth proportional to 142,552.70, 213,876.56 and 47,792.26 is: 71,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,552.70 : 213,876.56 = 47,792.26 : x
  2. Step 2: Convert to fraction form
    142,552.70/213,876.56 = 47,792.26/x
  3. Step 3: Cross multiply
    142,552.70x = 213,876.56 × 47,792.26
  4. Step 4: Simplify right side
    142,552.70x = 10,221,644,163.43
  5. Step 5: Solve for x
    x = 10,221,644,163.43/142,552.70
  6. Step 6: Final answer
    x = 71,704.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.