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Finding the Fourth Proportional to 38,272.88, 57,413.64 and 16,082.12

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Solution

The fourth proportional to 38,272.88, 57,413.64 and 16,082.12 is: 24,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.88 : 57,413.64 = 16,082.12 : x
  2. Step 2: Convert to fraction form
    38,272.88/57,413.64 = 16,082.12/x
  3. Step 3: Cross multiply
    38,272.88x = 57,413.64 × 16,082.12
  4. Step 4: Simplify right side
    38,272.88x = 923,333,048.12
  5. Step 5: Solve for x
    x = 923,333,048.12/38,272.88
  6. Step 6: Final answer
    x = 24,125.00

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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.