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Finding the Fourth Proportional to 31,894.33, 47,841.44 and 10,836.56

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Solution

The fourth proportional to 31,894.33, 47,841.44 and 10,836.56 is: 16,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.33 : 47,841.44 = 10,836.56 : x
  2. Step 2: Convert to fraction form
    31,894.33/47,841.44 = 10,836.56/x
  3. Step 3: Cross multiply
    31,894.33x = 47,841.44 × 10,836.56
  4. Step 4: Simplify right side
    31,894.33x = 518,436,422.93
  5. Step 5: Solve for x
    x = 518,436,422.93/31,894.33
  6. Step 6: Final answer
    x = 16,254.82

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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.