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Finding the Fourth Proportional to 34,758.80, 51,976.92 and 33,007.76

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Solution

The fourth proportional to 34,758.80, 51,976.92 and 33,007.76 is: 49,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,758.80 : 51,976.92 = 33,007.76 : x
  2. Step 2: Convert to fraction form
    34,758.80/51,976.92 = 33,007.76/x
  3. Step 3: Cross multiply
    34,758.80x = 51,976.92 × 33,007.76
  4. Step 4: Simplify right side
    34,758.80x = 1,715,641,700.90
  5. Step 5: Solve for x
    x = 1,715,641,700.90/34,758.80
  6. Step 6: Final answer
    x = 49,358.48

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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.