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Finding the Fourth Proportional to 34,661.92, 51,998 and 10,034.72

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Solution

The fourth proportional to 34,661.92, 51,998 and 10,034.72 is: 15,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.92 : 51,998 = 10,034.72 : x
  2. Step 2: Convert to fraction form
    34,661.92/51,998 = 10,034.72/x
  3. Step 3: Cross multiply
    34,661.92x = 51,998 × 10,034.72
  4. Step 4: Simplify right side
    34,661.92x = 521,785,370.56
  5. Step 5: Solve for x
    x = 521,785,370.56/34,661.92
  6. Step 6: Final answer
    x = 15,053.56

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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.