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Finding the Fourth Proportional to 49,476.74, 74,147.88 and 27,256.82

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Solution

The fourth proportional to 49,476.74, 74,147.88 and 27,256.82 is: 40,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476.74 : 74,147.88 = 27,256.82 : x
  2. Step 2: Convert to fraction form
    49,476.74/74,147.88 = 27,256.82/x
  3. Step 3: Cross multiply
    49,476.74x = 74,147.88 × 27,256.82
  4. Step 4: Simplify right side
    49,476.74x = 2,021,035,418.54
  5. Step 5: Solve for x
    x = 2,021,035,418.54/49,476.74
  6. Step 6: Final answer
    x = 40,848.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.