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Finding the Fourth Proportional to 56,991.44, 85,456.08 and 17,538.08

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Solution

The fourth proportional to 56,991.44, 85,456.08 and 17,538.08 is: 26,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,991.44 : 85,456.08 = 17,538.08 : x
  2. Step 2: Convert to fraction form
    56,991.44/85,456.08 = 17,538.08/x
  3. Step 3: Cross multiply
    56,991.44x = 85,456.08 × 17,538.08
  4. Step 4: Simplify right side
    56,991.44x = 1,498,735,567.53
  5. Step 5: Solve for x
    x = 1,498,735,567.53/56,991.44
  6. Step 6: Final answer
    x = 26,297.56

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Why These Related Problems?

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