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Finding the Fourth Proportional to 32,057.87, 48,089.03 and 12,336.39

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Solution

The fourth proportional to 32,057.87, 48,089.03 and 12,336.39 is: 18,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.87 : 48,089.03 = 12,336.39 : x
  2. Step 2: Convert to fraction form
    32,057.87/48,089.03 = 12,336.39/x
  3. Step 3: Cross multiply
    32,057.87x = 48,089.03 × 12,336.39
  4. Step 4: Simplify right side
    32,057.87x = 593,244,967.12
  5. Step 5: Solve for x
    x = 593,244,967.12/32,057.87
  6. Step 6: Final answer
    x = 18,505.44

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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.