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Finding the Fourth Proportional to 67,287.68, 100,945.92 and 20,544

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Solution

The fourth proportional to 67,287.68, 100,945.92 and 20,544 is: 30,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,287.68 : 100,945.92 = 20,544 : x
  2. Step 2: Convert to fraction form
    67,287.68/100,945.92 = 20,544/x
  3. Step 3: Cross multiply
    67,287.68x = 100,945.92 × 20,544
  4. Step 4: Simplify right side
    67,287.68x = 2,073,832,980.48
  5. Step 5: Solve for x
    x = 2,073,832,980.48/67,287.68
  6. Step 6: Final answer
    x = 30,820.40

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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.