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Finding the Fourth Proportional to 77,267.46, 106,524.41 and 66,057.38

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Solution

The fourth proportional to 77,267.46, 106,524.41 and 66,057.38 is: 91,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.46 : 106,524.41 = 66,057.38 : x
  2. Step 2: Convert to fraction form
    77,267.46/106,524.41 = 66,057.38/x
  3. Step 3: Cross multiply
    77,267.46x = 106,524.41 × 66,057.38
  4. Step 4: Simplify right side
    77,267.46x = 7,036,722,967.20
  5. Step 5: Solve for x
    x = 7,036,722,967.20/77,267.46
  6. Step 6: Final answer
    x = 91,069.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.