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Finding the Fourth Proportional to 38,616.89, 53,272.49 and 24,294.47

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Solution

The fourth proportional to 38,616.89, 53,272.49 and 24,294.47 is: 33,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.89 : 53,272.49 = 24,294.47 : x
  2. Step 2: Convert to fraction form
    38,616.89/53,272.49 = 24,294.47/x
  3. Step 3: Cross multiply
    38,616.89x = 53,272.49 × 24,294.47
  4. Step 4: Simplify right side
    38,616.89x = 1,294,226,522.30
  5. Step 5: Solve for x
    x = 1,294,226,522.30/38,616.89
  6. Step 6: Final answer
    x = 33,514.52

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