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Finding the Fourth Proportional to 39,082.50, 53,937.36 and 22,315.50

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Solution

The fourth proportional to 39,082.50, 53,937.36 and 22,315.50 is: 30,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082.50 : 53,937.36 = 22,315.50 : x
  2. Step 2: Convert to fraction form
    39,082.50/53,937.36 = 22,315.50/x
  3. Step 3: Cross multiply
    39,082.50x = 53,937.36 × 22,315.50
  4. Step 4: Simplify right side
    39,082.50x = 1,203,639,157.08
  5. Step 5: Solve for x
    x = 1,203,639,157.08/39,082.50
  6. Step 6: Final answer
    x = 30,797.39

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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.