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Finding the Fourth Proportional to 32,759, 49,138.56 and 8,135

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Solution

The fourth proportional to 32,759, 49,138.56 and 8,135 is: 12,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759 : 49,138.56 = 8,135 : x
  2. Step 2: Convert to fraction form
    32,759/49,138.56 = 8,135/x
  3. Step 3: Cross multiply
    32,759x = 49,138.56 × 8,135
  4. Step 4: Simplify right side
    32,759x = 399,742,185.60
  5. Step 5: Solve for x
    x = 399,742,185.60/32,759
  6. Step 6: Final answer
    x = 12,202.51

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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.