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Finding the Fourth Proportional to 31,758.32, 47,635.56 and 14,223.44

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Solution

The fourth proportional to 31,758.32, 47,635.56 and 14,223.44 is: 21,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.32 : 47,635.56 = 14,223.44 : x
  2. Step 2: Convert to fraction form
    31,758.32/47,635.56 = 14,223.44/x
  3. Step 3: Cross multiply
    31,758.32x = 47,635.56 × 14,223.44
  4. Step 4: Simplify right side
    31,758.32x = 677,541,529.53
  5. Step 5: Solve for x
    x = 677,541,529.53/31,758.32
  6. Step 6: Final answer
    x = 21,334.30

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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.