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Finding the Fourth Proportional to 31,138.65, 46,716.93 and 15,348.42

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Solution

The fourth proportional to 31,138.65, 46,716.93 and 15,348.42 is: 23,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.65 : 46,716.93 = 15,348.42 : x
  2. Step 2: Convert to fraction form
    31,138.65/46,716.93 = 15,348.42/x
  3. Step 3: Cross multiply
    31,138.65x = 46,716.93 × 15,348.42
  4. Step 4: Simplify right side
    31,138.65x = 717,031,062.75
  5. Step 5: Solve for x
    x = 717,031,062.75/31,138.65
  6. Step 6: Final answer
    x = 23,027.04

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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.