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Finding the Fourth Proportional to 32,863, 45,347.69 and 20,119.78

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Solution

The fourth proportional to 32,863, 45,347.69 and 20,119.78 is: 27,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863 : 45,347.69 = 20,119.78 : x
  2. Step 2: Convert to fraction form
    32,863/45,347.69 = 20,119.78/x
  3. Step 3: Cross multiply
    32,863x = 45,347.69 × 20,119.78
  4. Step 4: Simplify right side
    32,863x = 912,385,546.31
  5. Step 5: Solve for x
    x = 912,385,546.31/32,863
  6. Step 6: Final answer
    x = 27,763.31

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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.