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Finding the Fourth Proportional to 39,825.92, 59,723.52 and 13,524.48

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Solution

The fourth proportional to 39,825.92, 59,723.52 and 13,524.48 is: 20,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825.92 : 59,723.52 = 13,524.48 : x
  2. Step 2: Convert to fraction form
    39,825.92/59,723.52 = 13,524.48/x
  3. Step 3: Cross multiply
    39,825.92x = 59,723.52 × 13,524.48
  4. Step 4: Simplify right side
    39,825.92x = 807,729,551.77
  5. Step 5: Solve for x
    x = 807,729,551.77/39,825.92
  6. Step 6: Final answer
    x = 20,281.50

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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.