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Finding the Fourth Proportional to 48,480.75, 72,703.12 and 16,882.70

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Solution

The fourth proportional to 48,480.75, 72,703.12 and 16,882.70 is: 25,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480.75 : 72,703.12 = 16,882.70 : x
  2. Step 2: Convert to fraction form
    48,480.75/72,703.12 = 16,882.70/x
  3. Step 3: Cross multiply
    48,480.75x = 72,703.12 × 16,882.70
  4. Step 4: Simplify right side
    48,480.75x = 1,227,424,964.02
  5. Step 5: Solve for x
    x = 1,227,424,964.02/48,480.75
  6. Step 6: Final answer
    x = 25,317.78

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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.