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Finding the Fourth Proportional to 32,546.44, 48,820.47 and 9,172

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Solution

The fourth proportional to 32,546.44, 48,820.47 and 9,172 is: 13,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.44 : 48,820.47 = 9,172 : x
  2. Step 2: Convert to fraction form
    32,546.44/48,820.47 = 9,172/x
  3. Step 3: Cross multiply
    32,546.44x = 48,820.47 × 9,172
  4. Step 4: Simplify right side
    32,546.44x = 447,781,350.84
  5. Step 5: Solve for x
    x = 447,781,350.84/32,546.44
  6. Step 6: Final answer
    x = 13,758.23

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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.