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Finding the Fourth Proportional to 49,394.50, 68,164.41 and 27,038.50

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Solution

The fourth proportional to 49,394.50, 68,164.41 and 27,038.50 is: 37,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,394.50 : 68,164.41 = 27,038.50 : x
  2. Step 2: Convert to fraction form
    49,394.50/68,164.41 = 27,038.50/x
  3. Step 3: Cross multiply
    49,394.50x = 68,164.41 × 27,038.50
  4. Step 4: Simplify right side
    49,394.50x = 1,843,063,399.79
  5. Step 5: Solve for x
    x = 1,843,063,399.79/49,394.50
  6. Step 6: Final answer
    x = 37,313.13

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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.