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Finding the Fourth Proportional to 37,838.21, 52,199.17 and 24,413.74

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Solution

The fourth proportional to 37,838.21, 52,199.17 and 24,413.74 is: 33,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.21 : 52,199.17 = 24,413.74 : x
  2. Step 2: Convert to fraction form
    37,838.21/52,199.17 = 24,413.74/x
  3. Step 3: Cross multiply
    37,838.21x = 52,199.17 × 24,413.74
  4. Step 4: Simplify right side
    37,838.21x = 1,274,376,773.06
  5. Step 5: Solve for x
    x = 1,274,376,773.06/37,838.21
  6. Step 6: Final answer
    x = 33,679.63

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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.