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Finding the Fourth Proportional to 47,382.50, 71,074.11 and 16,218.02

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Solution

The fourth proportional to 47,382.50, 71,074.11 and 16,218.02 is: 24,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.50 : 71,074.11 = 16,218.02 : x
  2. Step 2: Convert to fraction form
    47,382.50/71,074.11 = 16,218.02/x
  3. Step 3: Cross multiply
    47,382.50x = 71,074.11 × 16,218.02
  4. Step 4: Simplify right side
    47,382.50x = 1,152,681,337.46
  5. Step 5: Solve for x
    x = 1,152,681,337.46/47,382.50
  6. Step 6: Final answer
    x = 24,327.15

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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.