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Finding the Fourth Proportional to 106,659, 160,014.42 and 32,787

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Solution

The fourth proportional to 106,659, 160,014.42 and 32,787 is: 49,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,659 : 160,014.42 = 32,787 : x
  2. Step 2: Convert to fraction form
    106,659/160,014.42 = 32,787/x
  3. Step 3: Cross multiply
    106,659x = 160,014.42 × 32,787
  4. Step 4: Simplify right side
    106,659x = 5,246,392,788.54
  5. Step 5: Solve for x
    x = 5,246,392,788.54/106,659
  6. Step 6: Final answer
    x = 49,188.47

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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.