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Finding the Fourth Proportional to 32,865, 45,353.70 and 17,961

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Solution

The fourth proportional to 32,865, 45,353.70 and 17,961 is: 24,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 45,353.70 = 17,961 : x
  2. Step 2: Convert to fraction form
    32,865/45,353.70 = 17,961/x
  3. Step 3: Cross multiply
    32,865x = 45,353.70 × 17,961
  4. Step 4: Simplify right side
    32,865x = 814,597,805.70
  5. Step 5: Solve for x
    x = 814,597,805.70/32,865
  6. Step 6: Final answer
    x = 24,786.18

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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.