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Finding the Fourth Proportional to 71,647.65, 107,307.57 and 34,234.02

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Solution

The fourth proportional to 71,647.65, 107,307.57 and 34,234.02 is: 51,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,647.65 : 107,307.57 = 34,234.02 : x
  2. Step 2: Convert to fraction form
    71,647.65/107,307.57 = 34,234.02/x
  3. Step 3: Cross multiply
    71,647.65x = 107,307.57 × 34,234.02
  4. Step 4: Simplify right side
    71,647.65x = 3,673,569,497.53
  5. Step 5: Solve for x
    x = 3,673,569,497.53/71,647.65
  6. Step 6: Final answer
    x = 51,272.71

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Why These Related Problems?

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