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Finding the Fourth Proportional to 104,053.80, 156,064.86 and 33,933

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Solution

The fourth proportional to 104,053.80, 156,064.86 and 33,933 is: 50,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,053.80 : 156,064.86 = 33,933 : x
  2. Step 2: Convert to fraction form
    104,053.80/156,064.86 = 33,933/x
  3. Step 3: Cross multiply
    104,053.80x = 156,064.86 × 33,933
  4. Step 4: Simplify right side
    104,053.80x = 5,295,748,894.38
  5. Step 5: Solve for x
    x = 5,295,748,894.38/104,053.80
  6. Step 6: Final answer
    x = 50,894.33

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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.