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Finding the Fourth Proportional to 51,206.40, 76,867.20 and 39,571.20

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Solution

The fourth proportional to 51,206.40, 76,867.20 and 39,571.20 is: 59,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.40 : 76,867.20 = 39,571.20 : x
  2. Step 2: Convert to fraction form
    51,206.40/76,867.20 = 39,571.20/x
  3. Step 3: Cross multiply
    51,206.40x = 76,867.20 × 39,571.20
  4. Step 4: Simplify right side
    51,206.40x = 3,041,727,344.64
  5. Step 5: Solve for x
    x = 3,041,727,344.64/51,206.40
  6. Step 6: Final answer
    x = 59,401.31

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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.