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Finding the Fourth Proportional to 32,188, 48,286.32 and 13,724.32

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Solution

The fourth proportional to 32,188, 48,286.32 and 13,724.32 is: 20,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188 : 48,286.32 = 13,724.32 : x
  2. Step 2: Convert to fraction form
    32,188/48,286.32 = 13,724.32/x
  3. Step 3: Cross multiply
    32,188x = 48,286.32 × 13,724.32
  4. Step 4: Simplify right side
    32,188x = 662,696,907.30
  5. Step 5: Solve for x
    x = 662,696,907.30/32,188
  6. Step 6: Final answer
    x = 20,588.32

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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.