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Finding the Fourth Proportional to 47,854.50, 71,782.37 and 16,689.75

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Solution

The fourth proportional to 47,854.50, 71,782.37 and 16,689.75 is: 25,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854.50 : 71,782.37 = 16,689.75 : x
  2. Step 2: Convert to fraction form
    47,854.50/71,782.37 = 16,689.75/x
  3. Step 3: Cross multiply
    47,854.50x = 71,782.37 × 16,689.75
  4. Step 4: Simplify right side
    47,854.50x = 1,198,029,726.26
  5. Step 5: Solve for x
    x = 1,198,029,726.26/47,854.50
  6. Step 6: Final answer
    x = 25,034.84

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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.