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Finding the Fourth Proportional to 39,296.24, 54,222.72 and 22,526

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Solution

The fourth proportional to 39,296.24, 54,222.72 and 22,526 is: 31,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296.24 : 54,222.72 = 22,526 : x
  2. Step 2: Convert to fraction form
    39,296.24/54,222.72 = 22,526/x
  3. Step 3: Cross multiply
    39,296.24x = 54,222.72 × 22,526
  4. Step 4: Simplify right side
    39,296.24x = 1,221,420,990.72
  5. Step 5: Solve for x
    x = 1,221,420,990.72/39,296.24
  6. Step 6: Final answer
    x = 31,082.39

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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.