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Finding the Fourth Proportional to 32,742.16, 49,116.86 and 11,687.11

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Solution

The fourth proportional to 32,742.16, 49,116.86 and 11,687.11 is: 17,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.16 : 49,116.86 = 11,687.11 : x
  2. Step 2: Convert to fraction form
    32,742.16/49,116.86 = 11,687.11/x
  3. Step 3: Cross multiply
    32,742.16x = 49,116.86 × 11,687.11
  4. Step 4: Simplify right side
    32,742.16x = 574,034,145.67
  5. Step 5: Solve for x
    x = 574,034,145.67/32,742.16
  6. Step 6: Final answer
    x = 17,531.96

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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.