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Finding the Fourth Proportional to 47,480.76, 71,185.77 and 15,872.12

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Solution

The fourth proportional to 47,480.76, 71,185.77 and 15,872.12 is: 23,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480.76 : 71,185.77 = 15,872.12 : x
  2. Step 2: Convert to fraction form
    47,480.76/71,185.77 = 15,872.12/x
  3. Step 3: Cross multiply
    47,480.76x = 71,185.77 × 15,872.12
  4. Step 4: Simplify right side
    47,480.76x = 1,129,868,727.80
  5. Step 5: Solve for x
    x = 1,129,868,727.80/47,480.76
  6. Step 6: Final answer
    x = 23,796.35

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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.