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Finding the Fourth Proportional to 71,807.65, 107,711.30 and 19,217.14

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Solution

The fourth proportional to 71,807.65, 107,711.30 and 19,217.14 is: 28,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.65 : 107,711.30 = 19,217.14 : x
  2. Step 2: Convert to fraction form
    71,807.65/107,711.30 = 19,217.14/x
  3. Step 3: Cross multiply
    71,807.65x = 107,711.30 × 19,217.14
  4. Step 4: Simplify right side
    71,807.65x = 2,069,902,910.45
  5. Step 5: Solve for x
    x = 2,069,902,910.45/71,807.65
  6. Step 6: Final answer
    x = 28,825.66

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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.