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Finding the Fourth Proportional to 48,469.80, 72,708.84 and 13,409.40

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Solution

The fourth proportional to 48,469.80, 72,708.84 and 13,409.40 is: 20,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,469.80 : 72,708.84 = 13,409.40 : x
  2. Step 2: Convert to fraction form
    48,469.80/72,708.84 = 13,409.40/x
  3. Step 3: Cross multiply
    48,469.80x = 72,708.84 × 13,409.40
  4. Step 4: Simplify right side
    48,469.80x = 974,981,919.10
  5. Step 5: Solve for x
    x = 974,981,919.10/48,469.80
  6. Step 6: Final answer
    x = 20,115.25

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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.