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Finding the Fourth Proportional to 48,855.78, 73,286.24 and 13,798.17

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Solution

The fourth proportional to 48,855.78, 73,286.24 and 13,798.17 is: 20,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855.78 : 73,286.24 = 13,798.17 : x
  2. Step 2: Convert to fraction form
    48,855.78/73,286.24 = 13,798.17/x
  3. Step 3: Cross multiply
    48,855.78x = 73,286.24 × 13,798.17
  4. Step 4: Simplify right side
    48,855.78x = 1,011,215,929.19
  5. Step 5: Solve for x
    x = 1,011,215,929.19/48,855.78
  6. Step 6: Final answer
    x = 20,697.98

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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.