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Finding the Fourth Proportional to 32,517.57, 48,771.24 and 10,328.03

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Solution

The fourth proportional to 32,517.57, 48,771.24 and 10,328.03 is: 15,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.57 : 48,771.24 = 10,328.03 : x
  2. Step 2: Convert to fraction form
    32,517.57/48,771.24 = 10,328.03/x
  3. Step 3: Cross multiply
    32,517.57x = 48,771.24 × 10,328.03
  4. Step 4: Simplify right side
    32,517.57x = 503,710,586.00
  5. Step 5: Solve for x
    x = 503,710,586.00/32,517.57
  6. Step 6: Final answer
    x = 15,490.41

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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.