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Finding the Fourth Proportional to 73,137.24, 109,710.12 and 20,550.84

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Solution

The fourth proportional to 73,137.24, 109,710.12 and 20,550.84 is: 30,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,137.24 : 109,710.12 = 20,550.84 : x
  2. Step 2: Convert to fraction form
    73,137.24/109,710.12 = 20,550.84/x
  3. Step 3: Cross multiply
    73,137.24x = 109,710.12 × 20,550.84
  4. Step 4: Simplify right side
    73,137.24x = 2,254,635,122.50
  5. Step 5: Solve for x
    x = 2,254,635,122.50/73,137.24
  6. Step 6: Final answer
    x = 30,827.46

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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.