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Finding the Fourth Proportional to 49,098.97, 67,751.31 and 32,963.02

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Solution

The fourth proportional to 49,098.97, 67,751.31 and 32,963.02 is: 45,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.97 : 67,751.31 = 32,963.02 : x
  2. Step 2: Convert to fraction form
    49,098.97/67,751.31 = 32,963.02/x
  3. Step 3: Cross multiply
    49,098.97x = 67,751.31 × 32,963.02
  4. Step 4: Simplify right side
    49,098.97x = 2,233,287,740.79
  5. Step 5: Solve for x
    x = 2,233,287,740.79/49,098.97
  6. Step 6: Final answer
    x = 45,485.43

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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.