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Finding the Fourth Proportional to 31,299.52, 46,956.98 and 9,113.09

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Solution

The fourth proportional to 31,299.52, 46,956.98 and 9,113.09 is: 13,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.52 : 46,956.98 = 9,113.09 : x
  2. Step 2: Convert to fraction form
    31,299.52/46,956.98 = 9,113.09/x
  3. Step 3: Cross multiply
    31,299.52x = 46,956.98 × 9,113.09
  4. Step 4: Simplify right side
    31,299.52x = 427,923,184.87
  5. Step 5: Solve for x
    x = 427,923,184.87/31,299.52
  6. Step 6: Final answer
    x = 13,671.88

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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.