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Finding the Fourth Proportional to 107,179.71, 160,717.62 and 32,285.89

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Solution

The fourth proportional to 107,179.71, 160,717.62 and 32,285.89 is: 48,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,179.71 : 160,717.62 = 32,285.89 : x
  2. Step 2: Convert to fraction form
    107,179.71/160,717.62 = 32,285.89/x
  3. Step 3: Cross multiply
    107,179.71x = 160,717.62 × 32,285.89
  4. Step 4: Simplify right side
    107,179.71x = 5,188,911,540.74
  5. Step 5: Solve for x
    x = 5,188,911,540.74/107,179.71
  6. Step 6: Final answer
    x = 48,413.19

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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.