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Finding the Fourth Proportional to 73,153.76, 109,730.64 and 20,563.25

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Solution

The fourth proportional to 73,153.76, 109,730.64 and 20,563.25 is: 30,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,153.76 : 109,730.64 = 20,563.25 : x
  2. Step 2: Convert to fraction form
    73,153.76/109,730.64 = 20,563.25/x
  3. Step 3: Cross multiply
    73,153.76x = 109,730.64 × 20,563.25
  4. Step 4: Simplify right side
    73,153.76x = 2,256,418,582.98
  5. Step 5: Solve for x
    x = 2,256,418,582.98/73,153.76
  6. Step 6: Final answer
    x = 30,844.88

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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.