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Finding the Fourth Proportional to 32,761.68, 49,131.24 and 9,381.84

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Solution

The fourth proportional to 32,761.68, 49,131.24 and 9,381.84 is: 14,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.68 : 49,131.24 = 9,381.84 : x
  2. Step 2: Convert to fraction form
    32,761.68/49,131.24 = 9,381.84/x
  3. Step 3: Cross multiply
    32,761.68x = 49,131.24 × 9,381.84
  4. Step 4: Simplify right side
    32,761.68x = 460,941,432.68
  5. Step 5: Solve for x
    x = 460,941,432.68/32,761.68
  6. Step 6: Final answer
    x = 14,069.53

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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.