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Finding the Fourth Proportional to 39,859.80, 59,768.10 and 16,459.80

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Solution

The fourth proportional to 39,859.80, 59,768.10 and 16,459.80 is: 24,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,859.80 : 59,768.10 = 16,459.80 : x
  2. Step 2: Convert to fraction form
    39,859.80/59,768.10 = 16,459.80/x
  3. Step 3: Cross multiply
    39,859.80x = 59,768.10 × 16,459.80
  4. Step 4: Simplify right side
    39,859.80x = 983,770,972.38
  5. Step 5: Solve for x
    x = 983,770,972.38/39,859.80
  6. Step 6: Final answer
    x = 24,680.78

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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.