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Finding the Fourth Proportional to 32,098.78, 44,296.47 and 17,951.63

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Solution

The fourth proportional to 32,098.78, 44,296.47 and 17,951.63 is: 24,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.78 : 44,296.47 = 17,951.63 : x
  2. Step 2: Convert to fraction form
    32,098.78/44,296.47 = 17,951.63/x
  3. Step 3: Cross multiply
    32,098.78x = 44,296.47 × 17,951.63
  4. Step 4: Simplify right side
    32,098.78x = 795,193,618.26
  5. Step 5: Solve for x
    x = 795,193,618.26/32,098.78
  6. Step 6: Final answer
    x = 24,773.33

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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.