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Finding the Fourth Proportional to 104,309.74, 156,476.83 and 33,207.47

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Solution

The fourth proportional to 104,309.74, 156,476.83 and 33,207.47 is: 49,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,309.74 : 156,476.83 = 33,207.47 : x
  2. Step 2: Convert to fraction form
    104,309.74/156,476.83 = 33,207.47/x
  3. Step 3: Cross multiply
    104,309.74x = 156,476.83 × 33,207.47
  4. Step 4: Simplify right side
    104,309.74x = 5,196,199,637.92
  5. Step 5: Solve for x
    x = 5,196,199,637.92/104,309.74
  6. Step 6: Final answer
    x = 49,815.10

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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.