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Finding the Fourth Proportional to 31,039.65, 46,561.05 and 8,856.27

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Solution

The fourth proportional to 31,039.65, 46,561.05 and 8,856.27 is: 13,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039.65 : 46,561.05 = 8,856.27 : x
  2. Step 2: Convert to fraction form
    31,039.65/46,561.05 = 8,856.27/x
  3. Step 3: Cross multiply
    31,039.65x = 46,561.05 × 8,856.27
  4. Step 4: Simplify right side
    31,039.65x = 412,357,230.28
  5. Step 5: Solve for x
    x = 412,357,230.28/31,039.65
  6. Step 6: Final answer
    x = 13,284.85

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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.