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Finding the Fourth Proportional to 117,193.75, 175,790.67 and 32,962.87

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Solution

The fourth proportional to 117,193.75, 175,790.67 and 32,962.87 is: 49,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,193.75 : 175,790.67 = 32,962.87 : x
  2. Step 2: Convert to fraction form
    117,193.75/175,790.67 = 32,962.87/x
  3. Step 3: Cross multiply
    117,193.75x = 175,790.67 × 32,962.87
  4. Step 4: Simplify right side
    117,193.75x = 5,794,564,123.47
  5. Step 5: Solve for x
    x = 5,794,564,123.47/117,193.75
  6. Step 6: Final answer
    x = 49,444.31

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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.