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Finding the Fourth Proportional to 118,532.16, 177,793.92 and 35,424

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Solution

The fourth proportional to 118,532.16, 177,793.92 and 35,424 is: 53,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,532.16 : 177,793.92 = 35,424 : x
  2. Step 2: Convert to fraction form
    118,532.16/177,793.92 = 35,424/x
  3. Step 3: Cross multiply
    118,532.16x = 177,793.92 × 35,424
  4. Step 4: Simplify right side
    118,532.16x = 6,298,171,822.08
  5. Step 5: Solve for x
    x = 6,298,171,822.08/118,532.16
  6. Step 6: Final answer
    x = 53,134.71

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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.