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Finding the Fourth Proportional to 71,442.84, 107,188.26 and 50,117.77

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Solution

The fourth proportional to 71,442.84, 107,188.26 and 50,117.77 is: 75,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.84 : 107,188.26 = 50,117.77 : x
  2. Step 2: Convert to fraction form
    71,442.84/107,188.26 = 50,117.77/x
  3. Step 3: Cross multiply
    71,442.84x = 107,188.26 × 50,117.77
  4. Step 4: Simplify right side
    71,442.84x = 5,372,036,789.34
  5. Step 5: Solve for x
    x = 5,372,036,789.34/71,442.84
  6. Step 6: Final answer
    x = 75,193.49

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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.