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Finding the Fourth Proportional to 59,713.26, 82,406.26 and 34,224.46

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Solution

The fourth proportional to 59,713.26, 82,406.26 and 34,224.46 is: 47,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713.26 : 82,406.26 = 34,224.46 : x
  2. Step 2: Convert to fraction form
    59,713.26/82,406.26 = 34,224.46/x
  3. Step 3: Cross multiply
    59,713.26x = 82,406.26 × 34,224.46
  4. Step 4: Simplify right side
    59,713.26x = 2,820,309,749.12
  5. Step 5: Solve for x
    x = 2,820,309,749.12/59,713.26
  6. Step 6: Final answer
    x = 47,230.88

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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.