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Finding the Fourth Proportional to 29,900.14, 44,849.97 and 7,711.61

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Solution

The fourth proportional to 29,900.14, 44,849.97 and 7,711.61 is: 11,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,900.14 : 44,849.97 = 7,711.61 : x
  2. Step 2: Convert to fraction form
    29,900.14/44,849.97 = 7,711.61/x
  3. Step 3: Cross multiply
    29,900.14x = 44,849.97 × 7,711.61
  4. Step 4: Simplify right side
    29,900.14x = 345,865,252.90
  5. Step 5: Solve for x
    x = 345,865,252.90/29,900.14
  6. Step 6: Final answer
    x = 11,567.35

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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.