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Finding the Fourth Proportional to 38,525, 57,787.68 and 13,901

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Solution

The fourth proportional to 38,525, 57,787.68 and 13,901 is: 20,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525 : 57,787.68 = 13,901 : x
  2. Step 2: Convert to fraction form
    38,525/57,787.68 = 13,901/x
  3. Step 3: Cross multiply
    38,525x = 57,787.68 × 13,901
  4. Step 4: Simplify right side
    38,525x = 803,306,539.68
  5. Step 5: Solve for x
    x = 803,306,539.68/38,525
  6. Step 6: Final answer
    x = 20,851.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.