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Finding the Fourth Proportional to 27,538.72, 41,078.69 and 24,881.20

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Solution

The fourth proportional to 27,538.72, 41,078.69 and 24,881.20 is: 37,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.72 : 41,078.69 = 24,881.20 : x
  2. Step 2: Convert to fraction form
    27,538.72/41,078.69 = 24,881.20/x
  3. Step 3: Cross multiply
    27,538.72x = 41,078.69 × 24,881.20
  4. Step 4: Simplify right side
    27,538.72x = 1,022,087,101.63
  5. Step 5: Solve for x
    x = 1,022,087,101.63/27,538.72
  6. Step 6: Final answer
    x = 37,114.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.