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Finding the Fourth Proportional to 83,274.48, 124,824.24 and 30,650.40

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Solution

The fourth proportional to 83,274.48, 124,824.24 and 30,650.40 is: 45,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.48 : 124,824.24 = 30,650.40 : x
  2. Step 2: Convert to fraction form
    83,274.48/124,824.24 = 30,650.40/x
  3. Step 3: Cross multiply
    83,274.48x = 124,824.24 × 30,650.40
  4. Step 4: Simplify right side
    83,274.48x = 3,825,912,885.70
  5. Step 5: Solve for x
    x = 3,825,912,885.70/83,274.48
  6. Step 6: Final answer
    x = 45,943.40

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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.