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Finding the Fourth Proportional to 67,184.92, 100,782.96 and 20,438.20

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Solution

The fourth proportional to 67,184.92, 100,782.96 and 20,438.20 is: 30,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184.92 : 100,782.96 = 20,438.20 : x
  2. Step 2: Convert to fraction form
    67,184.92/100,782.96 = 20,438.20/x
  3. Step 3: Cross multiply
    67,184.92x = 100,782.96 × 20,438.20
  4. Step 4: Simplify right side
    67,184.92x = 2,059,822,293.07
  5. Step 5: Solve for x
    x = 2,059,822,293.07/67,184.92
  6. Step 6: Final answer
    x = 30,659.00

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1.5x scale

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.