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Finding the Fourth Proportional to 117,123.75, 175,690.49 and 34,017.75

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Solution

The fourth proportional to 117,123.75, 175,690.49 and 34,017.75 is: 51,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,123.75 : 175,690.49 = 34,017.75 : x
  2. Step 2: Convert to fraction form
    117,123.75/175,690.49 = 34,017.75/x
  3. Step 3: Cross multiply
    117,123.75x = 175,690.49 × 34,017.75
  4. Step 4: Simplify right side
    117,123.75x = 5,976,594,996.11
  5. Step 5: Solve for x
    x = 5,976,594,996.11/117,123.75
  6. Step 6: Final answer
    x = 51,028.04

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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.