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Finding the Fourth Proportional to 142,344.49, 213,538.88 and 47,545.33

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Solution

The fourth proportional to 142,344.49, 213,538.88 and 47,545.33 is: 71,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,344.49 : 213,538.88 = 47,545.33 : x
  2. Step 2: Convert to fraction form
    142,344.49/213,538.88 = 47,545.33/x
  3. Step 3: Cross multiply
    142,344.49x = 213,538.88 × 47,545.33
  4. Step 4: Simplify right side
    142,344.49x = 10,152,776,517.43
  5. Step 5: Solve for x
    x = 10,152,776,517.43/142,344.49
  6. Step 6: Final answer
    x = 71,325.39

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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.