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Finding the Fourth Proportional to 32,227.84, 48,346.24 and 11,446.40

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Solution

The fourth proportional to 32,227.84, 48,346.24 and 11,446.40 is: 17,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.84 : 48,346.24 = 11,446.40 : x
  2. Step 2: Convert to fraction form
    32,227.84/48,346.24 = 11,446.40/x
  3. Step 3: Cross multiply
    32,227.84x = 48,346.24 × 11,446.40
  4. Step 4: Simplify right side
    32,227.84x = 553,390,401.54
  5. Step 5: Solve for x
    x = 553,390,401.54/32,227.84
  6. Step 6: Final answer
    x = 17,171.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.