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Finding the Fourth Proportional to 32,191.72, 48,286.53 and 9,702.52

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Solution

The fourth proportional to 32,191.72, 48,286.53 and 9,702.52 is: 14,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.72 : 48,286.53 = 9,702.52 : x
  2. Step 2: Convert to fraction form
    32,191.72/48,286.53 = 9,702.52/x
  3. Step 3: Cross multiply
    32,191.72x = 48,286.53 × 9,702.52
  4. Step 4: Simplify right side
    32,191.72x = 468,500,902.34
  5. Step 5: Solve for x
    x = 468,500,902.34/32,191.72
  6. Step 6: Final answer
    x = 14,553.46

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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.