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Finding the Fourth Proportional to 34,261.76, 47,278.62 and 20,831.15

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Solution

The fourth proportional to 34,261.76, 47,278.62 and 20,831.15 is: 28,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,261.76 : 47,278.62 = 20,831.15 : x
  2. Step 2: Convert to fraction form
    34,261.76/47,278.62 = 20,831.15/x
  3. Step 3: Cross multiply
    34,261.76x = 47,278.62 × 20,831.15
  4. Step 4: Simplify right side
    34,261.76x = 984,868,143.21
  5. Step 5: Solve for x
    x = 984,868,143.21/34,261.76
  6. Step 6: Final answer
    x = 28,745.40

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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.