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Finding the Fourth Proportional to 115,774.84, 173,662.38 and 36,889

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Solution

The fourth proportional to 115,774.84, 173,662.38 and 36,889 is: 55,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,774.84 : 173,662.38 = 36,889 : x
  2. Step 2: Convert to fraction form
    115,774.84/173,662.38 = 36,889/x
  3. Step 3: Cross multiply
    115,774.84x = 173,662.38 × 36,889
  4. Step 4: Simplify right side
    115,774.84x = 6,406,231,535.82
  5. Step 5: Solve for x
    x = 6,406,231,535.82/115,774.84
  6. Step 6: Final answer
    x = 55,333.54

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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.