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Finding the Fourth Proportional to 102,282.38, 153,447.72 and 32,161.70

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Solution

The fourth proportional to 102,282.38, 153,447.72 and 32,161.70 is: 48,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.38 : 153,447.72 = 32,161.70 : x
  2. Step 2: Convert to fraction form
    102,282.38/153,447.72 = 32,161.70/x
  3. Step 3: Cross multiply
    102,282.38x = 153,447.72 × 32,161.70
  4. Step 4: Simplify right side
    102,282.38x = 4,935,138,936.19
  5. Step 5: Solve for x
    x = 4,935,138,936.19/102,282.38
  6. Step 6: Final answer
    x = 48,250.14

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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.