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Finding the Fourth Proportional to 90,049.68, 135,042.12 and 30,869.46

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Solution

The fourth proportional to 90,049.68, 135,042.12 and 30,869.46 is: 46,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,049.68 : 135,042.12 = 30,869.46 : x
  2. Step 2: Convert to fraction form
    90,049.68/135,042.12 = 30,869.46/x
  3. Step 3: Cross multiply
    90,049.68x = 135,042.12 × 30,869.46
  4. Step 4: Simplify right side
    90,049.68x = 4,168,677,321.66
  5. Step 5: Solve for x
    x = 4,168,677,321.66/90,049.68
  6. Step 6: Final answer
    x = 46,293.08

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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.