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Finding the Fourth Proportional to 49,396, 68,166.48 and 27,040

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Solution

The fourth proportional to 49,396, 68,166.48 and 27,040 is: 37,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396 : 68,166.48 = 27,040 : x
  2. Step 2: Convert to fraction form
    49,396/68,166.48 = 27,040/x
  3. Step 3: Cross multiply
    49,396x = 68,166.48 × 27,040
  4. Step 4: Simplify right side
    49,396x = 1,843,221,619.20
  5. Step 5: Solve for x
    x = 1,843,221,619.20/49,396
  6. Step 6: Final answer
    x = 37,315.20

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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.