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Finding the Fourth Proportional to 53,905.76, 80,839.20 and 22,724

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Solution

The fourth proportional to 53,905.76, 80,839.20 and 22,724 is: 34,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.76 : 80,839.20 = 22,724 : x
  2. Step 2: Convert to fraction form
    53,905.76/80,839.20 = 22,724/x
  3. Step 3: Cross multiply
    53,905.76x = 80,839.20 × 22,724
  4. Step 4: Simplify right side
    53,905.76x = 1,836,989,980.80
  5. Step 5: Solve for x
    x = 1,836,989,980.80/53,905.76
  6. Step 6: Final answer
    x = 34,077.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.