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Finding the Fourth Proportional to 101,224.36, 151,838.34 and 31,104.28

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Solution

The fourth proportional to 101,224.36, 151,838.34 and 31,104.28 is: 46,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,224.36 : 151,838.34 = 31,104.28 : x
  2. Step 2: Convert to fraction form
    101,224.36/151,838.34 = 31,104.28/x
  3. Step 3: Cross multiply
    101,224.36x = 151,838.34 × 31,104.28
  4. Step 4: Simplify right side
    101,224.36x = 4,722,822,242.10
  5. Step 5: Solve for x
    x = 4,722,822,242.10/101,224.36
  6. Step 6: Final answer
    x = 46,656.97

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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.