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Finding the Fourth Proportional to 102,951.20, 154,412.40 and 32,837.60

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Solution

The fourth proportional to 102,951.20, 154,412.40 and 32,837.60 is: 49,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,951.20 : 154,412.40 = 32,837.60 : x
  2. Step 2: Convert to fraction form
    102,951.20/154,412.40 = 32,837.60/x
  3. Step 3: Cross multiply
    102,951.20x = 154,412.40 × 32,837.60
  4. Step 4: Simplify right side
    102,951.20x = 5,070,532,626.24
  5. Step 5: Solve for x
    x = 5,070,532,626.24/102,951.20
  6. Step 6: Final answer
    x = 49,251.81

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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.