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Finding the Fourth Proportional to 106,362.79, 159,591.30 and 55,749.79

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Solution

The fourth proportional to 106,362.79, 159,591.30 and 55,749.79 is: 83,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,362.79 : 159,591.30 = 55,749.79 : x
  2. Step 2: Convert to fraction form
    106,362.79/159,591.30 = 55,749.79/x
  3. Step 3: Cross multiply
    106,362.79x = 159,591.30 × 55,749.79
  4. Step 4: Simplify right side
    106,362.79x = 8,897,181,600.20
  5. Step 5: Solve for x
    x = 8,897,181,600.20/106,362.79
  6. Step 6: Final answer
    x = 83,649.38

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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.