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Finding the Fourth Proportional to 49,274.12, 67,994.34 and 27,762.95

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Solution

The fourth proportional to 49,274.12, 67,994.34 and 27,762.95 is: 38,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274.12 : 67,994.34 = 27,762.95 : x
  2. Step 2: Convert to fraction form
    49,274.12/67,994.34 = 27,762.95/x
  3. Step 3: Cross multiply
    49,274.12x = 67,994.34 × 27,762.95
  4. Step 4: Simplify right side
    49,274.12x = 1,887,723,527.58
  5. Step 5: Solve for x
    x = 1,887,723,527.58/49,274.12
  6. Step 6: Final answer
    x = 38,310.65

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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.