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Finding the Fourth Proportional to 122,590.62, 183,896.50 and 33,844.14

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Solution

The fourth proportional to 122,590.62, 183,896.50 and 33,844.14 is: 50,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.62 : 183,896.50 = 33,844.14 : x
  2. Step 2: Convert to fraction form
    122,590.62/183,896.50 = 33,844.14/x
  3. Step 3: Cross multiply
    122,590.62x = 183,896.50 × 33,844.14
  4. Step 4: Simplify right side
    122,590.62x = 6,223,818,891.51
  5. Step 5: Solve for x
    x = 6,223,818,891.51/122,590.62
  6. Step 6: Final answer
    x = 50,769.13

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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.