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Finding the Fourth Proportional to 71,816.67, 107,723.48 and 19,226.16

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Solution

The fourth proportional to 71,816.67, 107,723.48 and 19,226.16 is: 28,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.67 : 107,723.48 = 19,226.16 : x
  2. Step 2: Convert to fraction form
    71,816.67/107,723.48 = 19,226.16/x
  3. Step 3: Cross multiply
    71,816.67x = 107,723.48 × 19,226.16
  4. Step 4: Simplify right side
    71,816.67x = 2,071,108,766.11
  5. Step 5: Solve for x
    x = 2,071,108,766.11/71,816.67
  6. Step 6: Final answer
    x = 28,838.83

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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.