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Finding the Fourth Proportional to 82,468, 113,805.84 and 44,742.24

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Solution

The fourth proportional to 82,468, 113,805.84 and 44,742.24 is: 61,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,468 : 113,805.84 = 44,742.24 : x
  2. Step 2: Convert to fraction form
    82,468/113,805.84 = 44,742.24/x
  3. Step 3: Cross multiply
    82,468x = 113,805.84 × 44,742.24
  4. Step 4: Simplify right side
    82,468x = 5,091,928,206.68
  5. Step 5: Solve for x
    x = 5,091,928,206.68/82,468
  6. Step 6: Final answer
    x = 61,744.29

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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.