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Finding the Fourth Proportional to 31,009.38, 46,514.58 and 8,823.33

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Solution

The fourth proportional to 31,009.38, 46,514.58 and 8,823.33 is: 13,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.38 : 46,514.58 = 8,823.33 : x
  2. Step 2: Convert to fraction form
    31,009.38/46,514.58 = 8,823.33/x
  3. Step 3: Cross multiply
    31,009.38x = 46,514.58 × 8,823.33
  4. Step 4: Simplify right side
    31,009.38x = 410,413,489.15
  5. Step 5: Solve for x
    x = 410,413,489.15/31,009.38
  6. Step 6: Final answer
    x = 13,235.14

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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.