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Finding the Fourth Proportional to 39,412.62, 54,297 and 27,454.32

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Solution

The fourth proportional to 39,412.62, 54,297 and 27,454.32 is: 37,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.62 : 54,297 = 27,454.32 : x
  2. Step 2: Convert to fraction form
    39,412.62/54,297 = 27,454.32/x
  3. Step 3: Cross multiply
    39,412.62x = 54,297 × 27,454.32
  4. Step 4: Simplify right side
    39,412.62x = 1,490,687,213.04
  5. Step 5: Solve for x
    x = 1,490,687,213.04/39,412.62
  6. Step 6: Final answer
    x = 37,822.59

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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.