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Finding the Fourth Proportional to 73,786.82, 110,701.48 and 36,358.14

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Solution

The fourth proportional to 73,786.82, 110,701.48 and 36,358.14 is: 54,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,786.82 : 110,701.48 = 36,358.14 : x
  2. Step 2: Convert to fraction form
    73,786.82/110,701.48 = 36,358.14/x
  3. Step 3: Cross multiply
    73,786.82x = 110,701.48 × 36,358.14
  4. Step 4: Simplify right side
    73,786.82x = 4,024,899,908.05
  5. Step 5: Solve for x
    x = 4,024,899,908.05/73,786.82
  6. Step 6: Final answer
    x = 54,547.68

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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.