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Finding the Fourth Proportional to 34,049.76, 51,074.40 and 9,425.76

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Solution

The fourth proportional to 34,049.76, 51,074.40 and 9,425.76 is: 14,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.76 : 51,074.40 = 9,425.76 : x
  2. Step 2: Convert to fraction form
    34,049.76/51,074.40 = 9,425.76/x
  3. Step 3: Cross multiply
    34,049.76x = 51,074.40 × 9,425.76
  4. Step 4: Simplify right side
    34,049.76x = 481,415,036.54
  5. Step 5: Solve for x
    x = 481,415,036.54/34,049.76
  6. Step 6: Final answer
    x = 14,138.57

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1.5x scale

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.