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Finding the Fourth Proportional to 38,209.14, 52,728.80 and 23,877.29

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Solution

The fourth proportional to 38,209.14, 52,728.80 and 23,877.29 is: 32,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.14 : 52,728.80 = 23,877.29 : x
  2. Step 2: Convert to fraction form
    38,209.14/52,728.80 = 23,877.29/x
  3. Step 3: Cross multiply
    38,209.14x = 52,728.80 × 23,877.29
  4. Step 4: Simplify right side
    38,209.14x = 1,259,020,848.95
  5. Step 5: Solve for x
    x = 1,259,020,848.95/38,209.14
  6. Step 6: Final answer
    x = 32,950.78

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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.