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Finding the Fourth Proportional to 52,655.99, 78,942.67 and 26,377.97

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Solution

The fourth proportional to 52,655.99, 78,942.67 and 26,377.97 is: 39,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.99 : 78,942.67 = 26,377.97 : x
  2. Step 2: Convert to fraction form
    52,655.99/78,942.67 = 26,377.97/x
  3. Step 3: Cross multiply
    52,655.99x = 78,942.67 × 26,377.97
  4. Step 4: Simplify right side
    52,655.99x = 2,082,346,920.32
  5. Step 5: Solve for x
    x = 2,082,346,920.32/52,655.99
  6. Step 6: Final answer
    x = 39,546.25

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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.