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Finding the Fourth Proportional to 49,324.41, 68,071.16 and 27,816.08

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Solution

The fourth proportional to 49,324.41, 68,071.16 and 27,816.08 is: 38,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.41 : 68,071.16 = 27,816.08 : x
  2. Step 2: Convert to fraction form
    49,324.41/68,071.16 = 27,816.08/x
  3. Step 3: Cross multiply
    49,324.41x = 68,071.16 × 27,816.08
  4. Step 4: Simplify right side
    49,324.41x = 1,893,472,561.44
  5. Step 5: Solve for x
    x = 1,893,472,561.44/49,324.41
  6. Step 6: Final answer
    x = 38,388.14

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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.