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Finding the Fourth Proportional to 38,874.32, 53,742.24 and 38,519.14

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Solution

The fourth proportional to 38,874.32, 53,742.24 and 38,519.14 is: 53,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.32 : 53,742.24 = 38,519.14 : x
  2. Step 2: Convert to fraction form
    38,874.32/53,742.24 = 38,519.14/x
  3. Step 3: Cross multiply
    38,874.32x = 53,742.24 × 38,519.14
  4. Step 4: Simplify right side
    38,874.32x = 2,070,104,866.47
  5. Step 5: Solve for x
    x = 2,070,104,866.47/38,874.32
  6. Step 6: Final answer
    x = 53,251.22

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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.