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Finding the Fourth Proportional to 73,057.92, 109,582.77 and 19,749.11

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Solution

The fourth proportional to 73,057.92, 109,582.77 and 19,749.11 is: 29,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,057.92 : 109,582.77 = 19,749.11 : x
  2. Step 2: Convert to fraction form
    73,057.92/109,582.77 = 19,749.11/x
  3. Step 3: Cross multiply
    73,057.92x = 109,582.77 × 19,749.11
  4. Step 4: Simplify right side
    73,057.92x = 2,164,162,178.83
  5. Step 5: Solve for x
    x = 2,164,162,178.83/73,057.92
  6. Step 6: Final answer
    x = 29,622.55

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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.