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Finding the Fourth Proportional to 32,551.28, 48,822.60 and 9,179.60

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Solution

The fourth proportional to 32,551.28, 48,822.60 and 9,179.60 is: 13,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.28 : 48,822.60 = 9,179.60 : x
  2. Step 2: Convert to fraction form
    32,551.28/48,822.60 = 9,179.60/x
  3. Step 3: Cross multiply
    32,551.28x = 48,822.60 × 9,179.60
  4. Step 4: Simplify right side
    32,551.28x = 448,171,938.96
  5. Step 5: Solve for x
    x = 448,171,938.96/32,551.28
  6. Step 6: Final answer
    x = 13,768.18

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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.