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Finding the Fourth Proportional to 27,543.40, 38,083.62 and 24,044.20

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Solution

The fourth proportional to 27,543.40, 38,083.62 and 24,044.20 is: 33,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.40 : 38,083.62 = 24,044.20 : x
  2. Step 2: Convert to fraction form
    27,543.40/38,083.62 = 24,044.20/x
  3. Step 3: Cross multiply
    27,543.40x = 38,083.62 × 24,044.20
  4. Step 4: Simplify right side
    27,543.40x = 915,690,176.00
  5. Step 5: Solve for x
    x = 915,690,176.00/27,543.40
  6. Step 6: Final answer
    x = 33,245.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.