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Finding the Fourth Proportional to 37,785, 51,811.71 and 36,800.85

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Solution

The fourth proportional to 37,785, 51,811.71 and 36,800.85 is: 50,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785 : 51,811.71 = 36,800.85 : x
  2. Step 2: Convert to fraction form
    37,785/51,811.71 = 36,800.85/x
  3. Step 3: Cross multiply
    37,785x = 51,811.71 × 36,800.85
  4. Step 4: Simplify right side
    37,785x = 1,906,714,967.95
  5. Step 5: Solve for x
    x = 1,906,714,967.95/37,785
  6. Step 6: Final answer
    x = 50,462.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.