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Finding the Fourth Proportional to 31,019.82, 46,523.55 and 8,833.38

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Solution

The fourth proportional to 31,019.82, 46,523.55 and 8,833.38 is: 13,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.82 : 46,523.55 = 8,833.38 : x
  2. Step 2: Convert to fraction form
    31,019.82/46,523.55 = 8,833.38/x
  3. Step 3: Cross multiply
    31,019.82x = 46,523.55 × 8,833.38
  4. Step 4: Simplify right side
    31,019.82x = 410,960,196.10
  5. Step 5: Solve for x
    x = 410,960,196.10/31,019.82
  6. Step 6: Final answer
    x = 13,248.31

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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.