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Finding the Fourth Proportional to 47,886.90, 66,078.14 and 27,467.91

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Solution

The fourth proportional to 47,886.90, 66,078.14 and 27,467.91 is: 37,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886.90 : 66,078.14 = 27,467.91 : x
  2. Step 2: Convert to fraction form
    47,886.90/66,078.14 = 27,467.91/x
  3. Step 3: Cross multiply
    47,886.90x = 66,078.14 × 27,467.91
  4. Step 4: Simplify right side
    47,886.90x = 1,815,028,265.15
  5. Step 5: Solve for x
    x = 1,815,028,265.15/47,886.90
  6. Step 6: Final answer
    x = 37,902.39

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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.