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Finding the Fourth Proportional to 75,884.52, 113,822.67 and 23,294.01

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Solution

The fourth proportional to 75,884.52, 113,822.67 and 23,294.01 is: 34,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884.52 : 113,822.67 = 23,294.01 : x
  2. Step 2: Convert to fraction form
    75,884.52/113,822.67 = 23,294.01/x
  3. Step 3: Cross multiply
    75,884.52x = 113,822.67 × 23,294.01
  4. Step 4: Simplify right side
    75,884.52x = 2,651,386,413.21
  5. Step 5: Solve for x
    x = 2,651,386,413.21/75,884.52
  6. Step 6: Final answer
    x = 34,939.75

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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.