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Finding the Fourth Proportional to 107,902.70, 161,815.65 and 48,766.70

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Solution

The fourth proportional to 107,902.70, 161,815.65 and 48,766.70 is: 73,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,902.70 : 161,815.65 = 48,766.70 : x
  2. Step 2: Convert to fraction form
    107,902.70/161,815.65 = 48,766.70/x
  3. Step 3: Cross multiply
    107,902.70x = 161,815.65 × 48,766.70
  4. Step 4: Simplify right side
    107,902.70x = 7,891,215,258.86
  5. Step 5: Solve for x
    x = 7,891,215,258.86/107,902.70
  6. Step 6: Final answer
    x = 73,132.70

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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.