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Finding the Fourth Proportional to 47,874, 71,822.52 and 15,042

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Solution

The fourth proportional to 47,874, 71,822.52 and 15,042 is: 22,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874 : 71,822.52 = 15,042 : x
  2. Step 2: Convert to fraction form
    47,874/71,822.52 = 15,042/x
  3. Step 3: Cross multiply
    47,874x = 71,822.52 × 15,042
  4. Step 4: Simplify right side
    47,874x = 1,080,354,345.84
  5. Step 5: Solve for x
    x = 1,080,354,345.84/47,874
  6. Step 6: Final answer
    x = 22,566.62

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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.