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Finding the Fourth Proportional to 32,340.96, 44,630.10 and 18,193.80

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Solution

The fourth proportional to 32,340.96, 44,630.10 and 18,193.80 is: 25,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340.96 : 44,630.10 = 18,193.80 : x
  2. Step 2: Convert to fraction form
    32,340.96/44,630.10 = 18,193.80/x
  3. Step 3: Cross multiply
    32,340.96x = 44,630.10 × 18,193.80
  4. Step 4: Simplify right side
    32,340.96x = 811,991,113.38
  5. Step 5: Solve for x
    x = 811,991,113.38/32,340.96
  6. Step 6: Final answer
    x = 25,107.21

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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.