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Finding the Fourth Proportional to 32,176.38, 48,264.92 and 8,802.83

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Solution

The fourth proportional to 32,176.38, 48,264.92 and 8,802.83 is: 13,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.38 : 48,264.92 = 8,802.83 : x
  2. Step 2: Convert to fraction form
    32,176.38/48,264.92 = 8,802.83/x
  3. Step 3: Cross multiply
    32,176.38x = 48,264.92 × 8,802.83
  4. Step 4: Simplify right side
    32,176.38x = 424,867,600.38
  5. Step 5: Solve for x
    x = 424,867,600.38/32,176.38
  6. Step 6: Final answer
    x = 13,204.33

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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.