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Finding the Fourth Proportional to 75,086.54, 103,631.07 and 42,821.23

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Solution

The fourth proportional to 75,086.54, 103,631.07 and 42,821.23 is: 59,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,086.54 : 103,631.07 = 42,821.23 : x
  2. Step 2: Convert to fraction form
    75,086.54/103,631.07 = 42,821.23/x
  3. Step 3: Cross multiply
    75,086.54x = 103,631.07 × 42,821.23
  4. Step 4: Simplify right side
    75,086.54x = 4,437,609,883.62
  5. Step 5: Solve for x
    x = 4,437,609,883.62/75,086.54
  6. Step 6: Final answer
    x = 59,099.94

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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.