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Finding the Fourth Proportional to 34,032.74, 51,049.12 and 10,661

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Solution

The fourth proportional to 34,032.74, 51,049.12 and 10,661 is: 15,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032.74 : 51,049.12 = 10,661 : x
  2. Step 2: Convert to fraction form
    34,032.74/51,049.12 = 10,661/x
  3. Step 3: Cross multiply
    34,032.74x = 51,049.12 × 10,661
  4. Step 4: Simplify right side
    34,032.74x = 544,234,668.32
  5. Step 5: Solve for x
    x = 544,234,668.32/34,032.74
  6. Step 6: Final answer
    x = 15,991.50

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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.