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Finding the Fourth Proportional to 49,798.56, 68,721.84 and 27,442.56

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Solution

The fourth proportional to 49,798.56, 68,721.84 and 27,442.56 is: 37,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798.56 : 68,721.84 = 27,442.56 : x
  2. Step 2: Convert to fraction form
    49,798.56/68,721.84 = 27,442.56/x
  3. Step 3: Cross multiply
    49,798.56x = 68,721.84 × 27,442.56
  4. Step 4: Simplify right side
    49,798.56x = 1,885,903,217.51
  5. Step 5: Solve for x
    x = 1,885,903,217.51/49,798.56
  6. Step 6: Final answer
    x = 37,870.64

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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.