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Finding the Fourth Proportional to 32,862, 45,346.31 and 20,118.78

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Solution

The fourth proportional to 32,862, 45,346.31 and 20,118.78 is: 27,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 45,346.31 = 20,118.78 : x
  2. Step 2: Convert to fraction form
    32,862/45,346.31 = 20,118.78/x
  3. Step 3: Cross multiply
    32,862x = 45,346.31 × 20,118.78
  4. Step 4: Simplify right side
    32,862x = 912,312,207.97
  5. Step 5: Solve for x
    x = 912,312,207.97/32,862
  6. Step 6: Final answer
    x = 27,761.92

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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.