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Finding the Fourth Proportional to 31,376, 47,054.02 and 10,311.18

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Solution

The fourth proportional to 31,376, 47,054.02 and 10,311.18 is: 15,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376 : 47,054.02 = 10,311.18 : x
  2. Step 2: Convert to fraction form
    31,376/47,054.02 = 10,311.18/x
  3. Step 3: Cross multiply
    31,376x = 47,054.02 × 10,311.18
  4. Step 4: Simplify right side
    31,376x = 485,182,469.94
  5. Step 5: Solve for x
    x = 485,182,469.94/31,376
  6. Step 6: Final answer
    x = 15,463.49

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Why These Related Problems?

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