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Finding the Fourth Proportional to 49,117.01, 67,783.10 and 27,610.49

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Solution

The fourth proportional to 49,117.01, 67,783.10 and 27,610.49 is: 38,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.01 : 67,783.10 = 27,610.49 : x
  2. Step 2: Convert to fraction form
    49,117.01/67,783.10 = 27,610.49/x
  3. Step 3: Cross multiply
    49,117.01x = 67,783.10 × 27,610.49
  4. Step 4: Simplify right side
    49,117.01x = 1,871,524,636.12
  5. Step 5: Solve for x
    x = 1,871,524,636.12/49,117.01
  6. Step 6: Final answer
    x = 38,103.39

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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.