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Finding the Fourth Proportional to 49,393.80, 68,164.13 and 27,884.76

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Solution

The fourth proportional to 49,393.80, 68,164.13 and 27,884.76 is: 38,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,393.80 : 68,164.13 = 27,884.76 : x
  2. Step 2: Convert to fraction form
    49,393.80/68,164.13 = 27,884.76/x
  3. Step 3: Cross multiply
    49,393.80x = 68,164.13 × 27,884.76
  4. Step 4: Simplify right side
    49,393.80x = 1,900,740,219.76
  5. Step 5: Solve for x
    x = 1,900,740,219.76/49,393.80
  6. Step 6: Final answer
    x = 38,481.35

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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.