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Finding the Fourth Proportional to 49,135.59, 67,805.10 and 27,912.51

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Solution

The fourth proportional to 49,135.59, 67,805.10 and 27,912.51 is: 38,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135.59 : 67,805.10 = 27,912.51 : x
  2. Step 2: Convert to fraction form
    49,135.59/67,805.10 = 27,912.51/x
  3. Step 3: Cross multiply
    49,135.59x = 67,805.10 × 27,912.51
  4. Step 4: Simplify right side
    49,135.59x = 1,892,610,531.80
  5. Step 5: Solve for x
    x = 1,892,610,531.80/49,135.59
  6. Step 6: Final answer
    x = 38,518.12

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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.