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Finding the Fourth Proportional to 106,416.47, 159,641.10 and 36,279.38

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Solution

The fourth proportional to 106,416.47, 159,641.10 and 36,279.38 is: 54,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,416.47 : 159,641.10 = 36,279.38 : x
  2. Step 2: Convert to fraction form
    106,416.47/159,641.10 = 36,279.38/x
  3. Step 3: Cross multiply
    106,416.47x = 159,641.10 × 36,279.38
  4. Step 4: Simplify right side
    106,416.47x = 5,791,679,332.31
  5. Step 5: Solve for x
    x = 5,791,679,332.31/106,416.47
  6. Step 6: Final answer
    x = 54,424.65

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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.