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Finding the Fourth Proportional to 104,838.82, 157,184.10 and 33,739.46

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Solution

The fourth proportional to 104,838.82, 157,184.10 and 33,739.46 is: 50,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,838.82 : 157,184.10 = 33,739.46 : x
  2. Step 2: Convert to fraction form
    104,838.82/157,184.10 = 33,739.46/x
  3. Step 3: Cross multiply
    104,838.82x = 157,184.10 × 33,739.46
  4. Step 4: Simplify right side
    104,838.82x = 5,303,306,654.59
  5. Step 5: Solve for x
    x = 5,303,306,654.59/104,838.82
  6. Step 6: Final answer
    x = 50,585.33

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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.