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Finding the Fourth Proportional to 106,393.74, 159,536.22 and 35,290.71

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Solution

The fourth proportional to 106,393.74, 159,536.22 and 35,290.71 is: 52,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.74 : 159,536.22 = 35,290.71 : x
  2. Step 2: Convert to fraction form
    106,393.74/159,536.22 = 35,290.71/x
  3. Step 3: Cross multiply
    106,393.74x = 159,536.22 × 35,290.71
  4. Step 4: Simplify right side
    106,393.74x = 5,630,146,474.52
  5. Step 5: Solve for x
    x = 5,630,146,474.52/106,393.74
  6. Step 6: Final answer
    x = 52,918.02

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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.