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Finding the Fourth Proportional to 47,508.78, 65,569.07 and 27,361.74

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Solution

The fourth proportional to 47,508.78, 65,569.07 and 27,361.74 is: 37,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,508.78 : 65,569.07 = 27,361.74 : x
  2. Step 2: Convert to fraction form
    47,508.78/65,569.07 = 27,361.74/x
  3. Step 3: Cross multiply
    47,508.78x = 65,569.07 × 27,361.74
  4. Step 4: Simplify right side
    47,508.78x = 1,794,083,845.38
  5. Step 5: Solve for x
    x = 1,794,083,845.38/47,508.78
  6. Step 6: Final answer
    x = 37,763.21

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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.