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Finding the Fourth Proportional to 39,714.48, 54,862.92 and 31,746.24

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Solution

The fourth proportional to 39,714.48, 54,862.92 and 31,746.24 is: 43,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714.48 : 54,862.92 = 31,746.24 : x
  2. Step 2: Convert to fraction form
    39,714.48/54,862.92 = 31,746.24/x
  3. Step 3: Cross multiply
    39,714.48x = 54,862.92 × 31,746.24
  4. Step 4: Simplify right side
    39,714.48x = 1,741,691,425.42
  5. Step 5: Solve for x
    x = 1,741,691,425.42/39,714.48
  6. Step 6: Final answer
    x = 43,855.32

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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.