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Finding the Fourth Proportional to 37,757.48, 56,654.65 and 26,735

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Solution

The fourth proportional to 37,757.48, 56,654.65 and 26,735 is: 40,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.48 : 56,654.65 = 26,735 : x
  2. Step 2: Convert to fraction form
    37,757.48/56,654.65 = 26,735/x
  3. Step 3: Cross multiply
    37,757.48x = 56,654.65 × 26,735
  4. Step 4: Simplify right side
    37,757.48x = 1,514,662,067.75
  5. Step 5: Solve for x
    x = 1,514,662,067.75/37,757.48
  6. Step 6: Final answer
    x = 40,115.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.