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Finding the Fourth Proportional to 32,726, 49,089 and 8,102

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Solution

The fourth proportional to 32,726, 49,089 and 8,102 is: 12,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726 : 49,089 = 8,102 : x
  2. Step 2: Convert to fraction form
    32,726/49,089 = 8,102/x
  3. Step 3: Cross multiply
    32,726x = 49,089 × 8,102
  4. Step 4: Simplify right side
    32,726x = 397,719,078
  5. Step 5: Solve for x
    x = 397,719,078/32,726
  6. Step 6: Final answer
    x = 12,153

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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.