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Finding the Fourth Proportional to 32,843.87, 49,272.63 and 10,657.67

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Solution

The fourth proportional to 32,843.87, 49,272.63 and 10,657.67 is: 15,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.87 : 49,272.63 = 10,657.67 : x
  2. Step 2: Convert to fraction form
    32,843.87/49,272.63 = 10,657.67/x
  3. Step 3: Cross multiply
    32,843.87x = 49,272.63 × 10,657.67
  4. Step 4: Simplify right side
    32,843.87x = 525,131,184.21
  5. Step 5: Solve for x
    x = 525,131,184.21/32,843.87
  6. Step 6: Final answer
    x = 15,988.71

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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.