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Finding the Fourth Proportional to 31,009.89, 46,523.65 and 15,219.66

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Solution

The fourth proportional to 31,009.89, 46,523.65 and 15,219.66 is: 22,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.89 : 46,523.65 = 15,219.66 : x
  2. Step 2: Convert to fraction form
    31,009.89/46,523.65 = 15,219.66/x
  3. Step 3: Cross multiply
    31,009.89x = 46,523.65 × 15,219.66
  4. Step 4: Simplify right side
    31,009.89x = 708,074,299.91
  5. Step 5: Solve for x
    x = 708,074,299.91/31,009.89
  6. Step 6: Final answer
    x = 22,833.82

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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.