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Finding the Fourth Proportional to 34,770.69, 47,927.52 and 27,204.87

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Solution

The fourth proportional to 34,770.69, 47,927.52 and 27,204.87 is: 37,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.69 : 47,927.52 = 27,204.87 : x
  2. Step 2: Convert to fraction form
    34,770.69/47,927.52 = 27,204.87/x
  3. Step 3: Cross multiply
    34,770.69x = 47,927.52 × 27,204.87
  4. Step 4: Simplify right side
    34,770.69x = 1,303,861,951.02
  5. Step 5: Solve for x
    x = 1,303,861,951.02/34,770.69
  6. Step 6: Final answer
    x = 37,498.88

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