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Finding the Fourth Proportional to 73,182.94, 109,764.51 and 20,596.90

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Solution

The fourth proportional to 73,182.94, 109,764.51 and 20,596.90 is: 30,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182.94 : 109,764.51 = 20,596.90 : x
  2. Step 2: Convert to fraction form
    73,182.94/109,764.51 = 20,596.90/x
  3. Step 3: Cross multiply
    73,182.94x = 109,764.51 × 20,596.90
  4. Step 4: Simplify right side
    73,182.94x = 2,260,808,636.02
  5. Step 5: Solve for x
    x = 2,260,808,636.02/73,182.94
  6. Step 6: Final answer
    x = 30,892.56

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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.