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Finding the Fourth Proportional to 73,159.54, 109,745.79 and 20,569.48

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Solution

The fourth proportional to 73,159.54, 109,745.79 and 20,569.48 is: 30,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,159.54 : 109,745.79 = 20,569.48 : x
  2. Step 2: Convert to fraction form
    73,159.54/109,745.79 = 20,569.48/x
  3. Step 3: Cross multiply
    73,159.54x = 109,745.79 × 20,569.48
  4. Step 4: Simplify right side
    73,159.54x = 2,257,413,832.49
  5. Step 5: Solve for x
    x = 2,257,413,832.49/73,159.54
  6. Step 6: Final answer
    x = 30,856.04

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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.