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Finding the Fourth Proportional to 82,349.76, 113,642.76 and 44,624.04

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Solution

The fourth proportional to 82,349.76, 113,642.76 and 44,624.04 is: 61,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,349.76 : 113,642.76 = 44,624.04 : x
  2. Step 2: Convert to fraction form
    82,349.76/113,642.76 = 44,624.04/x
  3. Step 3: Cross multiply
    82,349.76x = 113,642.76 × 44,624.04
  4. Step 4: Simplify right side
    82,349.76x = 5,071,199,067.95
  5. Step 5: Solve for x
    x = 5,071,199,067.95/82,349.76
  6. Step 6: Final answer
    x = 61,581.22

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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.