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Finding the Fourth Proportional to 106,349.28, 159,622.56 and 53,796

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Solution

The fourth proportional to 106,349.28, 159,622.56 and 53,796 is: 80,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,349.28 : 159,622.56 = 53,796 : x
  2. Step 2: Convert to fraction form
    106,349.28/159,622.56 = 53,796/x
  3. Step 3: Cross multiply
    106,349.28x = 159,622.56 × 53,796
  4. Step 4: Simplify right side
    106,349.28x = 8,587,055,237.76
  5. Step 5: Solve for x
    x = 8,587,055,237.76/106,349.28
  6. Step 6: Final answer
    x = 80,743.90

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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.