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Finding the Fourth Proportional to 106,509, 159,766.38 and 32,637

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Solution

The fourth proportional to 106,509, 159,766.38 and 32,637 is: 48,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509 : 159,766.38 = 32,637 : x
  2. Step 2: Convert to fraction form
    106,509/159,766.38 = 32,637/x
  3. Step 3: Cross multiply
    106,509x = 159,766.38 × 32,637
  4. Step 4: Simplify right side
    106,509x = 5,214,295,344.06
  5. Step 5: Solve for x
    x = 5,214,295,344.06/106,509
  6. Step 6: Final answer
    x = 48,956.38

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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.