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Finding the Fourth Proportional to 47,878.90, 66,054.92 and 27,728.43

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Solution

The fourth proportional to 47,878.90, 66,054.92 and 27,728.43 is: 38,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.90 : 66,054.92 = 27,728.43 : x
  2. Step 2: Convert to fraction form
    47,878.90/66,054.92 = 27,728.43/x
  3. Step 3: Cross multiply
    47,878.90x = 66,054.92 × 27,728.43
  4. Step 4: Simplify right side
    47,878.90x = 1,831,598,917.01
  5. Step 5: Solve for x
    x = 1,831,598,917.01/47,878.90
  6. Step 6: Final answer
    x = 38,254.83

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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.