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Finding the Fourth Proportional to 32,192.80, 48,250.80 and 13,472.80

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Solution

The fourth proportional to 32,192.80, 48,250.80 and 13,472.80 is: 20,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.80 : 48,250.80 = 13,472.80 : x
  2. Step 2: Convert to fraction form
    32,192.80/48,250.80 = 13,472.80/x
  3. Step 3: Cross multiply
    32,192.80x = 48,250.80 × 13,472.80
  4. Step 4: Simplify right side
    32,192.80x = 650,073,378.24
  5. Step 5: Solve for x
    x = 650,073,378.24/32,192.80
  6. Step 6: Final answer
    x = 20,193.13

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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.