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Finding the Fourth Proportional to 49,209, 67,906.44 and 29,072.34

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Solution

The fourth proportional to 49,209, 67,906.44 and 29,072.34 is: 40,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209 : 67,906.44 = 29,072.34 : x
  2. Step 2: Convert to fraction form
    49,209/67,906.44 = 29,072.34/x
  3. Step 3: Cross multiply
    49,209x = 67,906.44 × 29,072.34
  4. Step 4: Simplify right side
    49,209x = 1,974,199,111.87
  5. Step 5: Solve for x
    x = 1,974,199,111.87/49,209
  6. Step 6: Final answer
    x = 40,118.66

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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.