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Finding the Fourth Proportional to 107,284.62, 160,890.42 and 37,147.50

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Solution

The fourth proportional to 107,284.62, 160,890.42 and 37,147.50 is: 55,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284.62 : 160,890.42 = 37,147.50 : x
  2. Step 2: Convert to fraction form
    107,284.62/160,890.42 = 37,147.50/x
  3. Step 3: Cross multiply
    107,284.62x = 160,890.42 × 37,147.50
  4. Step 4: Simplify right side
    107,284.62x = 5,976,676,876.95
  5. Step 5: Solve for x
    x = 5,976,676,876.95/107,284.62
  6. Step 6: Final answer
    x = 55,708.61

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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.