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Finding the Fourth Proportional to 48,872.60, 73,301.70 and 13,815.80

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Solution

The fourth proportional to 48,872.60, 73,301.70 and 13,815.80 is: 20,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,872.60 : 73,301.70 = 13,815.80 : x
  2. Step 2: Convert to fraction form
    48,872.60/73,301.70 = 13,815.80/x
  3. Step 3: Cross multiply
    48,872.60x = 73,301.70 × 13,815.80
  4. Step 4: Simplify right side
    48,872.60x = 1,012,721,626.86
  5. Step 5: Solve for x
    x = 1,012,721,626.86/48,872.60
  6. Step 6: Final answer
    x = 20,721.66

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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.