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Finding the Fourth Proportional to 32,109.38, 44,310.95 and 17,962.22

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Solution

The fourth proportional to 32,109.38, 44,310.95 and 17,962.22 is: 24,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.38 : 44,310.95 = 17,962.22 : x
  2. Step 2: Convert to fraction form
    32,109.38/44,310.95 = 17,962.22/x
  3. Step 3: Cross multiply
    32,109.38x = 44,310.95 × 17,962.22
  4. Step 4: Simplify right side
    32,109.38x = 795,922,720.94
  5. Step 5: Solve for x
    x = 795,922,720.94/32,109.38
  6. Step 6: Final answer
    x = 24,787.86

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Why These Related Problems?

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