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Finding the Fourth Proportional to 34,049.66, 51,074.32 and 8,749.15

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Solution

The fourth proportional to 34,049.66, 51,074.32 and 8,749.15 is: 13,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.66 : 51,074.32 = 8,749.15 : x
  2. Step 2: Convert to fraction form
    34,049.66/51,074.32 = 8,749.15/x
  3. Step 3: Cross multiply
    34,049.66x = 51,074.32 × 8,749.15
  4. Step 4: Simplify right side
    34,049.66x = 446,856,886.83
  5. Step 5: Solve for x
    x = 446,856,886.83/34,049.66
  6. Step 6: Final answer
    x = 13,123.68

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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.