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Finding the Fourth Proportional to 75,986, 104,860.72 and 42,452

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Solution

The fourth proportional to 75,986, 104,860.72 and 42,452 is: 58,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,986 : 104,860.72 = 42,452 : x
  2. Step 2: Convert to fraction form
    75,986/104,860.72 = 42,452/x
  3. Step 3: Cross multiply
    75,986x = 104,860.72 × 42,452
  4. Step 4: Simplify right side
    75,986x = 4,451,547,285.44
  5. Step 5: Solve for x
    x = 4,451,547,285.44/75,986
  6. Step 6: Final answer
    x = 58,583.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.