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Finding the Fourth Proportional to 32,198.40, 48,280.32 and 10,002.24

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Solution

The fourth proportional to 32,198.40, 48,280.32 and 10,002.24 is: 14,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.40 : 48,280.32 = 10,002.24 : x
  2. Step 2: Convert to fraction form
    32,198.40/48,280.32 = 10,002.24/x
  3. Step 3: Cross multiply
    32,198.40x = 48,280.32 × 10,002.24
  4. Step 4: Simplify right side
    32,198.40x = 482,911,347.92
  5. Step 5: Solve for x
    x = 482,911,347.92/32,198.40
  6. Step 6: Final answer
    x = 14,997.99

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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.