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Finding the Fourth Proportional to 32,842.26, 49,234.23 and 24,512.22

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Solution

The fourth proportional to 32,842.26, 49,234.23 and 24,512.22 is: 36,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.26 : 49,234.23 = 24,512.22 : x
  2. Step 2: Convert to fraction form
    32,842.26/49,234.23 = 24,512.22/x
  3. Step 3: Cross multiply
    32,842.26x = 49,234.23 × 24,512.22
  4. Step 4: Simplify right side
    32,842.26x = 1,206,840,277.29
  5. Step 5: Solve for x
    x = 1,206,840,277.29/32,842.26
  6. Step 6: Final answer
    x = 36,746.57

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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.