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Finding the Fourth Proportional to 39,098.46, 53,963.10 and 22,331.46

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Solution

The fourth proportional to 39,098.46, 53,963.10 and 22,331.46 is: 30,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098.46 : 53,963.10 = 22,331.46 : x
  2. Step 2: Convert to fraction form
    39,098.46/53,963.10 = 22,331.46/x
  3. Step 3: Cross multiply
    39,098.46x = 53,963.10 × 22,331.46
  4. Step 4: Simplify right side
    39,098.46x = 1,205,074,809.13
  5. Step 5: Solve for x
    x = 1,205,074,809.13/39,098.46
  6. Step 6: Final answer
    x = 30,821.54

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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.