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Finding the Fourth Proportional to 106,058.73, 159,054.48 and 35,921.64

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Solution

The fourth proportional to 106,058.73, 159,054.48 and 35,921.64 is: 53,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058.73 : 159,054.48 = 35,921.64 : x
  2. Step 2: Convert to fraction form
    106,058.73/159,054.48 = 35,921.64/x
  3. Step 3: Cross multiply
    106,058.73x = 159,054.48 × 35,921.64
  4. Step 4: Simplify right side
    106,058.73x = 5,713,497,770.95
  5. Step 5: Solve for x
    x = 5,713,497,770.95/106,058.73
  6. Step 6: Final answer
    x = 53,871.07

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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.