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Finding the Fourth Proportional to 117,740.98, 176,545.86 and 38,834.02

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Solution

The fourth proportional to 117,740.98, 176,545.86 and 38,834.02 is: 58,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,740.98 : 176,545.86 = 38,834.02 : x
  2. Step 2: Convert to fraction form
    117,740.98/176,545.86 = 38,834.02/x
  3. Step 3: Cross multiply
    117,740.98x = 176,545.86 × 38,834.02
  4. Step 4: Simplify right side
    117,740.98x = 6,855,985,458.16
  5. Step 5: Solve for x
    x = 6,855,985,458.16/117,740.98
  6. Step 6: Final answer
    x = 58,229.39

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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.