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Finding the Fourth Proportional to 31,034.52, 46,551.88 and 7,660.96

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Solution

The fourth proportional to 31,034.52, 46,551.88 and 7,660.96 is: 11,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.52 : 46,551.88 = 7,660.96 : x
  2. Step 2: Convert to fraction form
    31,034.52/46,551.88 = 7,660.96/x
  3. Step 3: Cross multiply
    31,034.52x = 46,551.88 × 7,660.96
  4. Step 4: Simplify right side
    31,034.52x = 356,631,857.85
  5. Step 5: Solve for x
    x = 356,631,857.85/31,034.52
  6. Step 6: Final answer
    x = 11,491.46

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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.