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Finding the Fourth Proportional to 102,254.50, 153,371.76 and 32,121.46

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Solution

The fourth proportional to 102,254.50, 153,371.76 and 32,121.46 is: 48,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,254.50 : 153,371.76 = 32,121.46 : x
  2. Step 2: Convert to fraction form
    102,254.50/153,371.76 = 32,121.46/x
  3. Step 3: Cross multiply
    102,254.50x = 153,371.76 × 32,121.46
  4. Step 4: Simplify right side
    102,254.50x = 4,926,524,853.97
  5. Step 5: Solve for x
    x = 4,926,524,853.97/102,254.50
  6. Step 6: Final answer
    x = 48,179.05

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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.