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Finding the Fourth Proportional to 82,449.66, 113,780.80 and 44,724.18

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Solution

The fourth proportional to 82,449.66, 113,780.80 and 44,724.18 is: 61,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449.66 : 113,780.80 = 44,724.18 : x
  2. Step 2: Convert to fraction form
    82,449.66/113,780.80 = 44,724.18/x
  3. Step 3: Cross multiply
    82,449.66x = 113,780.80 × 44,724.18
  4. Step 4: Simplify right side
    82,449.66x = 5,088,752,979.74
  5. Step 5: Solve for x
    x = 5,088,752,979.74/82,449.66
  6. Step 6: Final answer
    x = 61,719.51

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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.