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Finding the Fourth Proportional to 32,284.96, 48,427.52 and 10,098.48

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Solution

The fourth proportional to 32,284.96, 48,427.52 and 10,098.48 is: 15,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.96 : 48,427.52 = 10,098.48 : x
  2. Step 2: Convert to fraction form
    32,284.96/48,427.52 = 10,098.48/x
  3. Step 3: Cross multiply
    32,284.96x = 48,427.52 × 10,098.48
  4. Step 4: Simplify right side
    32,284.96x = 489,044,342.17
  5. Step 5: Solve for x
    x = 489,044,342.17/32,284.96
  6. Step 6: Final answer
    x = 15,147.75

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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.