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Finding the Fourth Proportional to 50,876.42, 76,221 and 31,897.44

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Solution

The fourth proportional to 50,876.42, 76,221 and 31,897.44 is: 47,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.42 : 76,221 = 31,897.44 : x
  2. Step 2: Convert to fraction form
    50,876.42/76,221 = 31,897.44/x
  3. Step 3: Cross multiply
    50,876.42x = 76,221 × 31,897.44
  4. Step 4: Simplify right side
    50,876.42x = 2,431,254,774.24
  5. Step 5: Solve for x
    x = 2,431,254,774.24/50,876.42
  6. Step 6: Final answer
    x = 47,787.46

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