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Finding the Fourth Proportional to 32,394.46, 48,549.97 and 15,722.23

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Solution

The fourth proportional to 32,394.46, 48,549.97 and 15,722.23 is: 23,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.46 : 48,549.97 = 15,722.23 : x
  2. Step 2: Convert to fraction form
    32,394.46/48,549.97 = 15,722.23/x
  3. Step 3: Cross multiply
    32,394.46x = 48,549.97 × 15,722.23
  4. Step 4: Simplify right side
    32,394.46x = 763,313,794.83
  5. Step 5: Solve for x
    x = 763,313,794.83/32,394.46
  6. Step 6: Final answer
    x = 23,563.10

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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.