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Finding the Fourth Proportional to 32,410.80, 48,616.20 and 19,288.80

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Solution

The fourth proportional to 32,410.80, 48,616.20 and 19,288.80 is: 28,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.80 : 48,616.20 = 19,288.80 : x
  2. Step 2: Convert to fraction form
    32,410.80/48,616.20 = 19,288.80/x
  3. Step 3: Cross multiply
    32,410.80x = 48,616.20 × 19,288.80
  4. Step 4: Simplify right side
    32,410.80x = 937,748,158.56
  5. Step 5: Solve for x
    x = 937,748,158.56/32,410.80
  6. Step 6: Final answer
    x = 28,933.20

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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.