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Finding the Fourth Proportional to 100,542, 150,583.33 and 47,988.39

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Solution

The fourth proportional to 100,542, 150,583.33 and 47,988.39 is: 71,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542 : 150,583.33 = 47,988.39 : x
  2. Step 2: Convert to fraction form
    100,542/150,583.33 = 47,988.39/x
  3. Step 3: Cross multiply
    100,542x = 150,583.33 × 47,988.39
  4. Step 4: Simplify right side
    100,542x = 7,226,251,567.54
  5. Step 5: Solve for x
    x = 7,226,251,567.54/100,542
  6. Step 6: Final answer
    x = 71,872.96

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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.