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Finding the Fourth Proportional to 39,830.84, 54,960.12 and 22,831.96

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Solution

The fourth proportional to 39,830.84, 54,960.12 and 22,831.96 is: 31,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.84 : 54,960.12 = 22,831.96 : x
  2. Step 2: Convert to fraction form
    39,830.84/54,960.12 = 22,831.96/x
  3. Step 3: Cross multiply
    39,830.84x = 54,960.12 × 22,831.96
  4. Step 4: Simplify right side
    39,830.84x = 1,254,847,261.44
  5. Step 5: Solve for x
    x = 1,254,847,261.44/39,830.84
  6. Step 6: Final answer
    x = 31,504.41

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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.