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Finding the Fourth Proportional to 32,865, 45,354.82 and 17,961.96

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Solution

The fourth proportional to 32,865, 45,354.82 and 17,961.96 is: 24,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 45,354.82 = 17,961.96 : x
  2. Step 2: Convert to fraction form
    32,865/45,354.82 = 17,961.96/x
  3. Step 3: Cross multiply
    32,865x = 45,354.82 × 17,961.96
  4. Step 4: Simplify right side
    32,865x = 814,661,462.65
  5. Step 5: Solve for x
    x = 814,661,462.65/32,865
  6. Step 6: Final answer
    x = 24,788.12

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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.