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Finding the Fourth Proportional to 31,299.43, 46,956.84 and 9,113

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Solution

The fourth proportional to 31,299.43, 46,956.84 and 9,113 is: 13,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.43 : 46,956.84 = 9,113 : x
  2. Step 2: Convert to fraction form
    31,299.43/46,956.84 = 9,113/x
  3. Step 3: Cross multiply
    31,299.43x = 46,956.84 × 9,113
  4. Step 4: Simplify right side
    31,299.43x = 427,917,682.92
  5. Step 5: Solve for x
    x = 427,917,682.92/31,299.43
  6. Step 6: Final answer
    x = 13,671.74

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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.