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Finding the Fourth Proportional to 59,764.24, 89,661 and 18,211.24

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Solution

The fourth proportional to 59,764.24, 89,661 and 18,211.24 is: 27,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,764.24 : 89,661 = 18,211.24 : x
  2. Step 2: Convert to fraction form
    59,764.24/89,661 = 18,211.24/x
  3. Step 3: Cross multiply
    59,764.24x = 89,661 × 18,211.24
  4. Step 4: Simplify right side
    59,764.24x = 1,632,837,989.64
  5. Step 5: Solve for x
    x = 1,632,837,989.64/59,764.24
  6. Step 6: Final answer
    x = 27,321.32

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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.