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Finding the Fourth Proportional to 49,057.82, 67,701.42 and 27,837.98

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Solution

The fourth proportional to 49,057.82, 67,701.42 and 27,837.98 is: 38,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057.82 : 67,701.42 = 27,837.98 : x
  2. Step 2: Convert to fraction form
    49,057.82/67,701.42 = 27,837.98/x
  3. Step 3: Cross multiply
    49,057.82x = 67,701.42 × 27,837.98
  4. Step 4: Simplify right side
    49,057.82x = 1,884,670,775.93
  5. Step 5: Solve for x
    x = 1,884,670,775.93/49,057.82
  6. Step 6: Final answer
    x = 38,417.34

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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.