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Finding the Fourth Proportional to 31,105.70, 46,658.55 and 15,521.30

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Solution

The fourth proportional to 31,105.70, 46,658.55 and 15,521.30 is: 23,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.70 : 46,658.55 = 15,521.30 : x
  2. Step 2: Convert to fraction form
    31,105.70/46,658.55 = 15,521.30/x
  3. Step 3: Cross multiply
    31,105.70x = 46,658.55 × 15,521.30
  4. Step 4: Simplify right side
    31,105.70x = 724,201,352.12
  5. Step 5: Solve for x
    x = 724,201,352.12/31,105.70
  6. Step 6: Final answer
    x = 23,281.95

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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.