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Finding the Fourth Proportional to 32,018.25, 48,031.02 and 16,439.52

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Solution

The fourth proportional to 32,018.25, 48,031.02 and 16,439.52 is: 24,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.25 : 48,031.02 = 16,439.52 : x
  2. Step 2: Convert to fraction form
    32,018.25/48,031.02 = 16,439.52/x
  3. Step 3: Cross multiply
    32,018.25x = 48,031.02 × 16,439.52
  4. Step 4: Simplify right side
    32,018.25x = 789,606,913.91
  5. Step 5: Solve for x
    x = 789,606,913.91/32,018.25
  6. Step 6: Final answer
    x = 24,661.15

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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.