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Finding the Fourth Proportional to 113,491.64, 170,231.06 and 50,293.56

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Solution

The fourth proportional to 113,491.64, 170,231.06 and 50,293.56 is: 75,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,491.64 : 170,231.06 = 50,293.56 : x
  2. Step 2: Convert to fraction form
    113,491.64/170,231.06 = 50,293.56/x
  3. Step 3: Cross multiply
    113,491.64x = 170,231.06 × 50,293.56
  4. Step 4: Simplify right side
    113,491.64x = 8,561,526,029.97
  5. Step 5: Solve for x
    x = 8,561,526,029.97/113,491.64
  6. Step 6: Final answer
    x = 75,437.50

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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.