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Finding the Fourth Proportional to 32,033.62, 44,206.23 and 17,886.47

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Solution

The fourth proportional to 32,033.62, 44,206.23 and 17,886.47 is: 24,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.62 : 44,206.23 = 17,886.47 : x
  2. Step 2: Convert to fraction form
    32,033.62/44,206.23 = 17,886.47/x
  3. Step 3: Cross multiply
    32,033.62x = 44,206.23 × 17,886.47
  4. Step 4: Simplify right side
    32,033.62x = 790,693,185.68
  5. Step 5: Solve for x
    x = 790,693,185.68/32,033.62
  6. Step 6: Final answer
    x = 24,683.23

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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.