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Finding the Fourth Proportional to 32,057.50, 48,069.24 and 16,044.52

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Solution

The fourth proportional to 32,057.50, 48,069.24 and 16,044.52 is: 24,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.50 : 48,069.24 = 16,044.52 : x
  2. Step 2: Convert to fraction form
    32,057.50/48,069.24 = 16,044.52/x
  3. Step 3: Cross multiply
    32,057.50x = 48,069.24 × 16,044.52
  4. Step 4: Simplify right side
    32,057.50x = 771,247,882.56
  5. Step 5: Solve for x
    x = 771,247,882.56/32,057.50
  6. Step 6: Final answer
    x = 24,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.