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Finding the Fourth Proportional to 48,799, 73,198.54 and 13,738.66

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Solution

The fourth proportional to 48,799, 73,198.54 and 13,738.66 is: 20,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799 : 73,198.54 = 13,738.66 : x
  2. Step 2: Convert to fraction form
    48,799/73,198.54 = 13,738.66/x
  3. Step 3: Cross multiply
    48,799x = 73,198.54 × 13,738.66
  4. Step 4: Simplify right side
    48,799x = 1,005,649,853.56
  5. Step 5: Solve for x
    x = 1,005,649,853.56/48,799
  6. Step 6: Final answer
    x = 20,608.00

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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.