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Finding the Fourth Proportional to 31,098.78, 46,648.13 and 11,366.55

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Solution

The fourth proportional to 31,098.78, 46,648.13 and 11,366.55 is: 17,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.78 : 46,648.13 = 11,366.55 : x
  2. Step 2: Convert to fraction form
    31,098.78/46,648.13 = 11,366.55/x
  3. Step 3: Cross multiply
    31,098.78x = 46,648.13 × 11,366.55
  4. Step 4: Simplify right side
    31,098.78x = 530,228,245.22
  5. Step 5: Solve for x
    x = 530,228,245.22/31,098.78
  6. Step 6: Final answer
    x = 17,049.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.