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Finding the Fourth Proportional to 37,981, 52,413.78 and 21,214

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Solution

The fourth proportional to 37,981, 52,413.78 and 21,214 is: 29,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,981 : 52,413.78 = 21,214 : x
  2. Step 2: Convert to fraction form
    37,981/52,413.78 = 21,214/x
  3. Step 3: Cross multiply
    37,981x = 52,413.78 × 21,214
  4. Step 4: Simplify right side
    37,981x = 1,111,905,928.92
  5. Step 5: Solve for x
    x = 1,111,905,928.92/37,981
  6. Step 6: Final answer
    x = 29,275.32

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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.