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Finding the Fourth Proportional to 83,024.92, 114,584.10 and 47,220.28

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Solution

The fourth proportional to 83,024.92, 114,584.10 and 47,220.28 is: 65,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024.92 : 114,584.10 = 47,220.28 : x
  2. Step 2: Convert to fraction form
    83,024.92/114,584.10 = 47,220.28/x
  3. Step 3: Cross multiply
    83,024.92x = 114,584.10 × 47,220.28
  4. Step 4: Simplify right side
    83,024.92x = 5,410,693,285.55
  5. Step 5: Solve for x
    x = 5,410,693,285.55/83,024.92
  6. Step 6: Final answer
    x = 65,169.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.