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Finding the Fourth Proportional to 49,064.50, 67,709.10 and 26,708.50

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Solution

The fourth proportional to 49,064.50, 67,709.10 and 26,708.50 is: 36,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064.50 : 67,709.10 = 26,708.50 : x
  2. Step 2: Convert to fraction form
    49,064.50/67,709.10 = 26,708.50/x
  3. Step 3: Cross multiply
    49,064.50x = 67,709.10 × 26,708.50
  4. Step 4: Simplify right side
    49,064.50x = 1,808,408,497.35
  5. Step 5: Solve for x
    x = 1,808,408,497.35/49,064.50
  6. Step 6: Final answer
    x = 36,857.78

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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.