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Finding the Fourth Proportional to 47,857, 71,788.80 and 16,254.16

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Solution

The fourth proportional to 47,857, 71,788.80 and 16,254.16 is: 24,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857 : 71,788.80 = 16,254.16 : x
  2. Step 2: Convert to fraction form
    47,857/71,788.80 = 16,254.16/x
  3. Step 3: Cross multiply
    47,857x = 71,788.80 × 16,254.16
  4. Step 4: Simplify right side
    47,857x = 1,166,866,641.41
  5. Step 5: Solve for x
    x = 1,166,866,641.41/47,857
  6. Step 6: Final answer
    x = 24,382.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.