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Finding the Fourth Proportional to 83,842.99, 125,750.81 and 24,664.82

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Solution

The fourth proportional to 83,842.99, 125,750.81 and 24,664.82 is: 36,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.99 : 125,750.81 = 24,664.82 : x
  2. Step 2: Convert to fraction form
    83,842.99/125,750.81 = 24,664.82/x
  3. Step 3: Cross multiply
    83,842.99x = 125,750.81 × 24,664.82
  4. Step 4: Simplify right side
    83,842.99x = 3,101,621,284.56
  5. Step 5: Solve for x
    x = 3,101,621,284.56/83,842.99
  6. Step 6: Final answer
    x = 36,993.21

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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.