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Finding the Fourth Proportional to 48,815.40, 73,231.20 and 19,234.20

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Solution

The fourth proportional to 48,815.40, 73,231.20 and 19,234.20 is: 28,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,815.40 : 73,231.20 = 19,234.20 : x
  2. Step 2: Convert to fraction form
    48,815.40/73,231.20 = 19,234.20/x
  3. Step 3: Cross multiply
    48,815.40x = 73,231.20 × 19,234.20
  4. Step 4: Simplify right side
    48,815.40x = 1,408,543,547.04
  5. Step 5: Solve for x
    x = 1,408,543,547.04/48,815.40
  6. Step 6: Final answer
    x = 28,854.49

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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.