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Finding the Fourth Proportional to 31,182.32, 46,775.10 and 15,594.68

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Solution

The fourth proportional to 31,182.32, 46,775.10 and 15,594.68 is: 23,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.32 : 46,775.10 = 15,594.68 : x
  2. Step 2: Convert to fraction form
    31,182.32/46,775.10 = 15,594.68/x
  3. Step 3: Cross multiply
    31,182.32x = 46,775.10 × 15,594.68
  4. Step 4: Simplify right side
    31,182.32x = 729,442,716.47
  5. Step 5: Solve for x
    x = 729,442,716.47/31,182.32
  6. Step 6: Final answer
    x = 23,392.83

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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.