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Finding the Fourth Proportional to 49,177.74, 67,811.44 and 33,234.51

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Solution

The fourth proportional to 49,177.74, 67,811.44 and 33,234.51 is: 45,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,177.74 : 67,811.44 = 33,234.51 : x
  2. Step 2: Convert to fraction form
    49,177.74/67,811.44 = 33,234.51/x
  3. Step 3: Cross multiply
    49,177.74x = 67,811.44 × 33,234.51
  4. Step 4: Simplify right side
    49,177.74x = 2,253,679,980.79
  5. Step 5: Solve for x
    x = 2,253,679,980.79/49,177.74
  6. Step 6: Final answer
    x = 45,827.24

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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.