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Finding the Fourth Proportional to 117,251.22, 175,878.76 and 33,013.41

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Solution

The fourth proportional to 117,251.22, 175,878.76 and 33,013.41 is: 49,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,251.22 : 175,878.76 = 33,013.41 : x
  2. Step 2: Convert to fraction form
    117,251.22/175,878.76 = 33,013.41/x
  3. Step 3: Cross multiply
    117,251.22x = 175,878.76 × 33,013.41
  4. Step 4: Simplify right side
    117,251.22x = 5,806,356,569.71
  5. Step 5: Solve for x
    x = 5,806,356,569.71/117,251.22
  6. Step 6: Final answer
    x = 49,520.65

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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.