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Finding the Fourth Proportional to 106,468.56, 159,702.82 and 27,582.79

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Solution

The fourth proportional to 106,468.56, 159,702.82 and 27,582.79 is: 41,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,468.56 : 159,702.82 = 27,582.79 : x
  2. Step 2: Convert to fraction form
    106,468.56/159,702.82 = 27,582.79/x
  3. Step 3: Cross multiply
    106,468.56x = 159,702.82 × 27,582.79
  4. Step 4: Simplify right side
    106,468.56x = 4,405,049,346.47
  5. Step 5: Solve for x
    x = 4,405,049,346.47/106,468.56
  6. Step 6: Final answer
    x = 41,374.18

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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.