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Finding the Fourth Proportional to 31,974.72, 47,965.28 and 9,787.84

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Solution

The fourth proportional to 31,974.72, 47,965.28 and 9,787.84 is: 14,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.72 : 47,965.28 = 9,787.84 : x
  2. Step 2: Convert to fraction form
    31,974.72/47,965.28 = 9,787.84/x
  3. Step 3: Cross multiply
    31,974.72x = 47,965.28 × 9,787.84
  4. Step 4: Simplify right side
    31,974.72x = 469,476,486.20
  5. Step 5: Solve for x
    x = 469,476,486.20/31,974.72
  6. Step 6: Final answer
    x = 14,682.74

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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.