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Finding the Fourth Proportional to 98,150.52, 147,228.20 and 35,821

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Solution

The fourth proportional to 98,150.52, 147,228.20 and 35,821 is: 53,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,150.52 : 147,228.20 = 35,821 : x
  2. Step 2: Convert to fraction form
    98,150.52/147,228.20 = 35,821/x
  3. Step 3: Cross multiply
    98,150.52x = 147,228.20 × 35,821
  4. Step 4: Simplify right side
    98,150.52x = 5,273,861,352.20
  5. Step 5: Solve for x
    x = 5,273,861,352.20/98,150.52
  6. Step 6: Final answer
    x = 53,732.38

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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.