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Finding the Fourth Proportional to 97,377.80, 146,082.84 and 34,181.52

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Solution

The fourth proportional to 97,377.80, 146,082.84 and 34,181.52 is: 51,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,377.80 : 146,082.84 = 34,181.52 : x
  2. Step 2: Convert to fraction form
    97,377.80/146,082.84 = 34,181.52/x
  3. Step 3: Cross multiply
    97,377.80x = 146,082.84 × 34,181.52
  4. Step 4: Simplify right side
    97,377.80x = 4,993,333,517.12
  5. Step 5: Solve for x
    x = 4,993,333,517.12/97,377.80
  6. Step 6: Final answer
    x = 51,277.95

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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.