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Finding the Fourth Proportional to 57,291.96, 85,934.52 and 17,843.52

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Solution

The fourth proportional to 57,291.96, 85,934.52 and 17,843.52 is: 26,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291.96 : 85,934.52 = 17,843.52 : x
  2. Step 2: Convert to fraction form
    57,291.96/85,934.52 = 17,843.52/x
  3. Step 3: Cross multiply
    57,291.96x = 85,934.52 × 17,843.52
  4. Step 4: Simplify right side
    57,291.96x = 1,533,374,326.31
  5. Step 5: Solve for x
    x = 1,533,374,326.31/57,291.96
  6. Step 6: Final answer
    x = 26,764.21

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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.