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Finding the Fourth Proportional to 27,801.86, 38,242.14 and 24,382.04

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Solution

The fourth proportional to 27,801.86, 38,242.14 and 24,382.04 is: 33,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.86 : 38,242.14 = 24,382.04 : x
  2. Step 2: Convert to fraction form
    27,801.86/38,242.14 = 24,382.04/x
  3. Step 3: Cross multiply
    27,801.86x = 38,242.14 × 24,382.04
  4. Step 4: Simplify right side
    27,801.86x = 932,421,387.17
  5. Step 5: Solve for x
    x = 932,421,387.17/27,801.86
  6. Step 6: Final answer
    x = 33,538.09

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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.