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Finding the Fourth Proportional to 49,315.38, 68,053.86 and 27,804.94

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Solution

The fourth proportional to 49,315.38, 68,053.86 and 27,804.94 is: 38,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,315.38 : 68,053.86 = 27,804.94 : x
  2. Step 2: Convert to fraction form
    49,315.38/68,053.86 = 27,804.94/x
  3. Step 3: Cross multiply
    49,315.38x = 68,053.86 × 27,804.94
  4. Step 4: Simplify right side
    49,315.38x = 1,892,233,494.07
  5. Step 5: Solve for x
    x = 1,892,233,494.07/49,315.38
  6. Step 6: Final answer
    x = 38,370.05

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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.