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Finding the Fourth Proportional to 71,697.88, 107,322.18 and 46,363.78

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Solution

The fourth proportional to 71,697.88, 107,322.18 and 46,363.78 is: 69,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697.88 : 107,322.18 = 46,363.78 : x
  2. Step 2: Convert to fraction form
    71,697.88/107,322.18 = 46,363.78/x
  3. Step 3: Cross multiply
    71,697.88x = 107,322.18 × 46,363.78
  4. Step 4: Simplify right side
    71,697.88x = 4,975,861,942.64
  5. Step 5: Solve for x
    x = 4,975,861,942.64/71,697.88
  6. Step 6: Final answer
    x = 69,400.41

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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.