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Finding the Fourth Proportional to 38,275.96, 57,413.94 and 20,856.50

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Solution

The fourth proportional to 38,275.96, 57,413.94 and 20,856.50 is: 31,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.96 : 57,413.94 = 20,856.50 : x
  2. Step 2: Convert to fraction form
    38,275.96/57,413.94 = 20,856.50/x
  3. Step 3: Cross multiply
    38,275.96x = 57,413.94 × 20,856.50
  4. Step 4: Simplify right side
    38,275.96x = 1,197,453,839.61
  5. Step 5: Solve for x
    x = 1,197,453,839.61/38,275.96
  6. Step 6: Final answer
    x = 31,284.75

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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.