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Finding the Fourth Proportional to 31,377.88, 47,053 and 14,742.64

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Solution

The fourth proportional to 31,377.88, 47,053 and 14,742.64 is: 22,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377.88 : 47,053 = 14,742.64 : x
  2. Step 2: Convert to fraction form
    31,377.88/47,053 = 14,742.64/x
  3. Step 3: Cross multiply
    31,377.88x = 47,053 × 14,742.64
  4. Step 4: Simplify right side
    31,377.88x = 693,685,439.92
  5. Step 5: Solve for x
    x = 693,685,439.92/31,377.88
  6. Step 6: Final answer
    x = 22,107.47

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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.