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Finding the Fourth Proportional to 48,314.54, 72,471.13 and 16,747.58

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Solution

The fourth proportional to 48,314.54, 72,471.13 and 16,747.58 is: 25,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,314.54 : 72,471.13 = 16,747.58 : x
  2. Step 2: Convert to fraction form
    48,314.54/72,471.13 = 16,747.58/x
  3. Step 3: Cross multiply
    48,314.54x = 72,471.13 × 16,747.58
  4. Step 4: Simplify right side
    48,314.54x = 1,213,715,643.14
  5. Step 5: Solve for x
    x = 1,213,715,643.14/48,314.54
  6. Step 6: Final answer
    x = 25,121.13

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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.