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Finding the Fourth Proportional to 48,314.94, 72,471.69 and 16,747.98

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Solution

The fourth proportional to 48,314.94, 72,471.69 and 16,747.98 is: 25,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,314.94 : 72,471.69 = 16,747.98 : x
  2. Step 2: Convert to fraction form
    48,314.94/72,471.69 = 16,747.98/x
  3. Step 3: Cross multiply
    48,314.94x = 72,471.69 × 16,747.98
  4. Step 4: Simplify right side
    48,314.94x = 1,213,754,414.69
  5. Step 5: Solve for x
    x = 1,213,754,414.69/48,314.94
  6. Step 6: Final answer
    x = 25,121.72

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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.