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Finding the Fourth Proportional to 77,831.28, 116,755.20 and 21,671.52

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Solution

The fourth proportional to 77,831.28, 116,755.20 and 21,671.52 is: 32,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,831.28 : 116,755.20 = 21,671.52 : x
  2. Step 2: Convert to fraction form
    77,831.28/116,755.20 = 21,671.52/x
  3. Step 3: Cross multiply
    77,831.28x = 116,755.20 × 21,671.52
  4. Step 4: Simplify right side
    77,831.28x = 2,530,262,651.90
  5. Step 5: Solve for x
    x = 2,530,262,651.90/77,831.28
  6. Step 6: Final answer
    x = 32,509.59

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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.