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Finding the Fourth Proportional to 32,294.22, 48,442.98 and 10,107.54

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Solution

The fourth proportional to 32,294.22, 48,442.98 and 10,107.54 is: 15,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294.22 : 48,442.98 = 10,107.54 : x
  2. Step 2: Convert to fraction form
    32,294.22/48,442.98 = 10,107.54/x
  3. Step 3: Cross multiply
    32,294.22x = 48,442.98 × 10,107.54
  4. Step 4: Simplify right side
    32,294.22x = 489,639,358.07
  5. Step 5: Solve for x
    x = 489,639,358.07/32,294.22
  6. Step 6: Final answer
    x = 15,161.83

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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.