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Finding the Fourth Proportional to 106,560.48, 159,849.34 and 35,480.54

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Solution

The fourth proportional to 106,560.48, 159,849.34 and 35,480.54 is: 53,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,560.48 : 159,849.34 = 35,480.54 : x
  2. Step 2: Convert to fraction form
    106,560.48/159,849.34 = 35,480.54/x
  3. Step 3: Cross multiply
    106,560.48x = 159,849.34 × 35,480.54
  4. Step 4: Simplify right side
    106,560.48x = 5,671,540,901.84
  5. Step 5: Solve for x
    x = 5,671,540,901.84/106,560.48
  6. Step 6: Final answer
    x = 53,223.68

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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.