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Finding the Fourth Proportional to 31,757.04, 47,636.10 and 12,044.88

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Solution

The fourth proportional to 31,757.04, 47,636.10 and 12,044.88 is: 18,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.04 : 47,636.10 = 12,044.88 : x
  2. Step 2: Convert to fraction form
    31,757.04/47,636.10 = 12,044.88/x
  3. Step 3: Cross multiply
    31,757.04x = 47,636.10 × 12,044.88
  4. Step 4: Simplify right side
    31,757.04x = 573,771,108.17
  5. Step 5: Solve for x
    x = 573,771,108.17/31,757.04
  6. Step 6: Final answer
    x = 18,067.52

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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.