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Finding the Fourth Proportional to 102,281.82, 153,446.87 and 32,161.13

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Solution

The fourth proportional to 102,281.82, 153,446.87 and 32,161.13 is: 48,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,281.82 : 153,446.87 = 32,161.13 : x
  2. Step 2: Convert to fraction form
    102,281.82/153,446.87 = 32,161.13/x
  3. Step 3: Cross multiply
    102,281.82x = 153,446.87 × 32,161.13
  4. Step 4: Simplify right side
    102,281.82x = 4,935,025,485.90
  5. Step 5: Solve for x
    x = 4,935,025,485.90/102,281.82
  6. Step 6: Final answer
    x = 48,249.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.