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Finding the Fourth Proportional to 54,997.88, 75,893.46 and 31,127

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Solution

The fourth proportional to 54,997.88, 75,893.46 and 31,127 is: 42,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.88 : 75,893.46 = 31,127 : x
  2. Step 2: Convert to fraction form
    54,997.88/75,893.46 = 31,127/x
  3. Step 3: Cross multiply
    54,997.88x = 75,893.46 × 31,127
  4. Step 4: Simplify right side
    54,997.88x = 2,362,335,729.42
  5. Step 5: Solve for x
    x = 2,362,335,729.42/54,997.88
  6. Step 6: Final answer
    x = 42,953.21

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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.