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Finding the Fourth Proportional to 32,176.94, 48,258.02 and 8,805.20

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Solution

The fourth proportional to 32,176.94, 48,258.02 and 8,805.20 is: 13,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.94 : 48,258.02 = 8,805.20 : x
  2. Step 2: Convert to fraction form
    32,176.94/48,258.02 = 8,805.20/x
  3. Step 3: Cross multiply
    32,176.94x = 48,258.02 × 8,805.20
  4. Step 4: Simplify right side
    32,176.94x = 424,921,517.70
  5. Step 5: Solve for x
    x = 424,921,517.70/32,176.94
  6. Step 6: Final answer
    x = 13,205.78

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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.