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Finding the Fourth Proportional to 48,975.70, 73,471.65 and 20,909.20

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Solution

The fourth proportional to 48,975.70, 73,471.65 and 20,909.20 is: 31,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,975.70 : 73,471.65 = 20,909.20 : x
  2. Step 2: Convert to fraction form
    48,975.70/73,471.65 = 20,909.20/x
  3. Step 3: Cross multiply
    48,975.70x = 73,471.65 × 20,909.20
  4. Step 4: Simplify right side
    48,975.70x = 1,536,233,424.18
  5. Step 5: Solve for x
    x = 1,536,233,424.18/48,975.70
  6. Step 6: Final answer
    x = 31,367.26

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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.