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Finding the Fourth Proportional to 49,191.74, 67,884.28 and 27,971

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Solution

The fourth proportional to 49,191.74, 67,884.28 and 27,971 is: 38,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.74 : 67,884.28 = 27,971 : x
  2. Step 2: Convert to fraction form
    49,191.74/67,884.28 = 27,971/x
  3. Step 3: Cross multiply
    49,191.74x = 67,884.28 × 27,971
  4. Step 4: Simplify right side
    49,191.74x = 1,898,791,056.03
  5. Step 5: Solve for x
    x = 1,898,791,056.03/49,191.74
  6. Step 6: Final answer
    x = 38,599.80

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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.