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Finding the Fourth Proportional to 118,649.92, 177,980.80 and 35,536

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Solution

The fourth proportional to 118,649.92, 177,980.80 and 35,536 is: 53,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,649.92 : 177,980.80 = 35,536 : x
  2. Step 2: Convert to fraction form
    118,649.92/177,980.80 = 35,536/x
  3. Step 3: Cross multiply
    118,649.92x = 177,980.80 × 35,536
  4. Step 4: Simplify right side
    118,649.92x = 6,324,725,708.80
  5. Step 5: Solve for x
    x = 6,324,725,708.80/118,649.92
  6. Step 6: Final answer
    x = 53,305.77

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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.