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Finding the Fourth Proportional to 117,078.75, 175,611.92 and 32,844.76

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Solution

The fourth proportional to 117,078.75, 175,611.92 and 32,844.76 is: 49,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,078.75 : 175,611.92 = 32,844.76 : x
  2. Step 2: Convert to fraction form
    117,078.75/175,611.92 = 32,844.76/x
  3. Step 3: Cross multiply
    117,078.75x = 175,611.92 × 32,844.76
  4. Step 4: Simplify right side
    117,078.75x = 5,767,930,762.29
  5. Step 5: Solve for x
    x = 5,767,930,762.29/117,078.75
  6. Step 6: Final answer
    x = 49,265.39

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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.