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Finding the Fourth Proportional to 107,079.50, 160,590.46 and 32,182.92

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Solution

The fourth proportional to 107,079.50, 160,590.46 and 32,182.92 is: 48,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,079.50 : 160,590.46 = 32,182.92 : x
  2. Step 2: Convert to fraction form
    107,079.50/160,590.46 = 32,182.92/x
  3. Step 3: Cross multiply
    107,079.50x = 160,590.46 × 32,182.92
  4. Step 4: Simplify right side
    107,079.50x = 5,168,269,926.94
  5. Step 5: Solve for x
    x = 5,168,269,926.94/107,079.50
  6. Step 6: Final answer
    x = 48,265.73

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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.