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Finding the Fourth Proportional to 32,266.38, 48,397.83 and 10,077.21

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Solution

The fourth proportional to 32,266.38, 48,397.83 and 10,077.21 is: 15,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.38 : 48,397.83 = 10,077.21 : x
  2. Step 2: Convert to fraction form
    32,266.38/48,397.83 = 10,077.21/x
  3. Step 3: Cross multiply
    32,266.38x = 48,397.83 × 10,077.21
  4. Step 4: Simplify right side
    32,266.38x = 487,715,096.45
  5. Step 5: Solve for x
    x = 487,715,096.45/32,266.38
  6. Step 6: Final answer
    x = 15,115.27

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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.