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Finding the Fourth Proportional to 75,883.34, 104,729.57 and 42,351.50

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Solution

The fourth proportional to 75,883.34, 104,729.57 and 42,351.50 is: 58,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.34 : 104,729.57 = 42,351.50 : x
  2. Step 2: Convert to fraction form
    75,883.34/104,729.57 = 42,351.50/x
  3. Step 3: Cross multiply
    75,883.34x = 104,729.57 × 42,351.50
  4. Step 4: Simplify right side
    75,883.34x = 4,435,454,383.86
  5. Step 5: Solve for x
    x = 4,435,454,383.86/75,883.34
  6. Step 6: Final answer
    x = 58,450.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.