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Finding the Fourth Proportional to 32,827.32, 49,241.66 and 10,640.64

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Solution

The fourth proportional to 32,827.32, 49,241.66 and 10,640.64 is: 15,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827.32 : 49,241.66 = 10,640.64 : x
  2. Step 2: Convert to fraction form
    32,827.32/49,241.66 = 10,640.64/x
  3. Step 3: Cross multiply
    32,827.32x = 49,241.66 × 10,640.64
  4. Step 4: Simplify right side
    32,827.32x = 523,962,777.06
  5. Step 5: Solve for x
    x = 523,962,777.06/32,827.32
  6. Step 6: Final answer
    x = 15,961.18

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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.