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Finding the Fourth Proportional to 73,453, 110,196.78 and 24,205

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Solution

The fourth proportional to 73,453, 110,196.78 and 24,205 is: 36,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,453 : 110,196.78 = 24,205 : x
  2. Step 2: Convert to fraction form
    73,453/110,196.78 = 24,205/x
  3. Step 3: Cross multiply
    73,453x = 110,196.78 × 24,205
  4. Step 4: Simplify right side
    73,453x = 2,667,313,059.90
  5. Step 5: Solve for x
    x = 2,667,313,059.90/73,453
  6. Step 6: Final answer
    x = 36,313.19

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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.