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Finding the Fourth Proportional to 70,122.65, 105,234.72 and 27,434.39

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Solution

The fourth proportional to 70,122.65, 105,234.72 and 27,434.39 is: 41,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122.65 : 105,234.72 = 27,434.39 : x
  2. Step 2: Convert to fraction form
    70,122.65/105,234.72 = 27,434.39/x
  3. Step 3: Cross multiply
    70,122.65x = 105,234.72 × 27,434.39
  4. Step 4: Simplify right side
    70,122.65x = 2,887,049,823.85
  5. Step 5: Solve for x
    x = 2,887,049,823.85/70,122.65
  6. Step 6: Final answer
    x = 41,171.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.