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Finding the Fourth Proportional to 49,191.99, 67,878.77 and 27,679.07

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Solution

The fourth proportional to 49,191.99, 67,878.77 and 27,679.07 is: 38,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.99 : 67,878.77 = 27,679.07 : x
  2. Step 2: Convert to fraction form
    49,191.99/67,878.77 = 27,679.07/x
  3. Step 3: Cross multiply
    49,191.99x = 67,878.77 × 27,679.07
  4. Step 4: Simplify right side
    49,191.99x = 1,878,820,748.55
  5. Step 5: Solve for x
    x = 1,878,820,748.55/49,191.99
  6. Step 6: Final answer
    x = 38,193.63

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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.