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Finding the Fourth Proportional to 106,039.17, 159,054.60 and 35,918.48

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Solution

The fourth proportional to 106,039.17, 159,054.60 and 35,918.48 is: 53,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.17 : 159,054.60 = 35,918.48 : x
  2. Step 2: Convert to fraction form
    106,039.17/159,054.60 = 35,918.48/x
  3. Step 3: Cross multiply
    106,039.17x = 159,054.60 × 35,918.48
  4. Step 4: Simplify right side
    106,039.17x = 5,712,999,469.01
  5. Step 5: Solve for x
    x = 5,712,999,469.01/106,039.17
  6. Step 6: Final answer
    x = 53,876.31

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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.