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Finding the Fourth Proportional to 35,536, 49,041.26 and 20,433.56

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Solution

The fourth proportional to 35,536, 49,041.26 and 20,433.56 is: 28,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536 : 49,041.26 = 20,433.56 : x
  2. Step 2: Convert to fraction form
    35,536/49,041.26 = 20,433.56/x
  3. Step 3: Cross multiply
    35,536x = 49,041.26 × 20,433.56
  4. Step 4: Simplify right side
    35,536x = 1,002,087,528.69
  5. Step 5: Solve for x
    x = 1,002,087,528.69/35,536
  6. Step 6: Final answer
    x = 28,199.22

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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.