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Finding the Fourth Proportional to 75,856.67, 113,749.79 and 44,275.85

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Solution

The fourth proportional to 75,856.67, 113,749.79 and 44,275.85 is: 66,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.67 : 113,749.79 = 44,275.85 : x
  2. Step 2: Convert to fraction form
    75,856.67/113,749.79 = 44,275.85/x
  3. Step 3: Cross multiply
    75,856.67x = 113,749.79 × 44,275.85
  4. Step 4: Simplify right side
    75,856.67x = 5,036,368,639.57
  5. Step 5: Solve for x
    x = 5,036,368,639.57/75,856.67
  6. Step 6: Final answer
    x = 66,393.22

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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.