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Finding the Fourth Proportional to 48,898.66, 73,357.42 and 20,818.20

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Solution

The fourth proportional to 48,898.66, 73,357.42 and 20,818.20 is: 31,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,898.66 : 73,357.42 = 20,818.20 : x
  2. Step 2: Convert to fraction form
    48,898.66/73,357.42 = 20,818.20/x
  3. Step 3: Cross multiply
    48,898.66x = 73,357.42 × 20,818.20
  4. Step 4: Simplify right side
    48,898.66x = 1,527,169,441.04
  5. Step 5: Solve for x
    x = 1,527,169,441.04/48,898.66
  6. Step 6: Final answer
    x = 31,231.31

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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.