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Finding the Fourth Proportional to 47,815, 71,734.02 and 14,983

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Solution

The fourth proportional to 47,815, 71,734.02 and 14,983 is: 22,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,815 : 71,734.02 = 14,983 : x
  2. Step 2: Convert to fraction form
    47,815/71,734.02 = 14,983/x
  3. Step 3: Cross multiply
    47,815x = 71,734.02 × 14,983
  4. Step 4: Simplify right side
    47,815x = 1,074,790,821.66
  5. Step 5: Solve for x
    x = 1,074,790,821.66/47,815
  6. Step 6: Final answer
    x = 22,478.11

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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.