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Finding the Fourth Proportional to 31,095.52, 46,648.32 and 12,375.52

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Solution

The fourth proportional to 31,095.52, 46,648.32 and 12,375.52 is: 18,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.52 : 46,648.32 = 12,375.52 : x
  2. Step 2: Convert to fraction form
    31,095.52/46,648.32 = 12,375.52/x
  3. Step 3: Cross multiply
    31,095.52x = 46,648.32 × 12,375.52
  4. Step 4: Simplify right side
    31,095.52x = 577,297,217.13
  5. Step 5: Solve for x
    x = 577,297,217.13/31,095.52
  6. Step 6: Final answer
    x = 18,565.29

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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.