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Finding the Fourth Proportional to 32,209.82, 44,510.56 and 24,238.16

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Solution

The fourth proportional to 32,209.82, 44,510.56 and 24,238.16 is: 33,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.82 : 44,510.56 = 24,238.16 : x
  2. Step 2: Convert to fraction form
    32,209.82/44,510.56 = 24,238.16/x
  3. Step 3: Cross multiply
    32,209.82x = 44,510.56 × 24,238.16
  4. Step 4: Simplify right side
    32,209.82x = 1,078,854,074.97
  5. Step 5: Solve for x
    x = 1,078,854,074.97/32,209.82
  6. Step 6: Final answer
    x = 33,494.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.