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Finding the Fourth Proportional to 32,033.84, 44,205.83 and 17,693.96

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Solution

The fourth proportional to 32,033.84, 44,205.83 and 17,693.96 is: 24,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.84 : 44,205.83 = 17,693.96 : x
  2. Step 2: Convert to fraction form
    32,033.84/44,205.83 = 17,693.96/x
  3. Step 3: Cross multiply
    32,033.84x = 44,205.83 × 17,693.96
  4. Step 4: Simplify right side
    32,033.84x = 782,175,878.29
  5. Step 5: Solve for x
    x = 782,175,878.29/32,033.84
  6. Step 6: Final answer
    x = 24,417.18

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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.