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Finding the Fourth Proportional to 32,077.16, 48,111.17 and 11,016.85

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Solution

The fourth proportional to 32,077.16, 48,111.17 and 11,016.85 is: 16,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.16 : 48,111.17 = 11,016.85 : x
  2. Step 2: Convert to fraction form
    32,077.16/48,111.17 = 11,016.85/x
  3. Step 3: Cross multiply
    32,077.16x = 48,111.17 × 11,016.85
  4. Step 4: Simplify right side
    32,077.16x = 530,033,543.21
  5. Step 5: Solve for x
    x = 530,033,543.21/32,077.16
  6. Step 6: Final answer
    x = 16,523.71

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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.