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Finding the Fourth Proportional to 30,489.48, 45,734.22 and 20,098.80

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Solution

The fourth proportional to 30,489.48, 45,734.22 and 20,098.80 is: 30,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.48 : 45,734.22 = 20,098.80 : x
  2. Step 2: Convert to fraction form
    30,489.48/45,734.22 = 20,098.80/x
  3. Step 3: Cross multiply
    30,489.48x = 45,734.22 × 20,098.80
  4. Step 4: Simplify right side
    30,489.48x = 919,203,061.78
  5. Step 5: Solve for x
    x = 919,203,061.78/30,489.48
  6. Step 6: Final answer
    x = 30,148.20

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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.