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Finding the Fourth Proportional to 32,087.68, 48,135 and 8,395.60

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Solution

The fourth proportional to 32,087.68, 48,135 and 8,395.60 is: 12,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.68 : 48,135 = 8,395.60 : x
  2. Step 2: Convert to fraction form
    32,087.68/48,135 = 8,395.60/x
  3. Step 3: Cross multiply
    32,087.68x = 48,135 × 8,395.60
  4. Step 4: Simplify right side
    32,087.68x = 404,122,206
  5. Step 5: Solve for x
    x = 404,122,206/32,087.68
  6. Step 6: Final answer
    x = 12,594.31

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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.