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Finding the Fourth Proportional to 33,214.05, 49,796.46 and 13,491

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Solution

The fourth proportional to 33,214.05, 49,796.46 and 13,491 is: 20,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.05 : 49,796.46 = 13,491 : x
  2. Step 2: Convert to fraction form
    33,214.05/49,796.46 = 13,491/x
  3. Step 3: Cross multiply
    33,214.05x = 49,796.46 × 13,491
  4. Step 4: Simplify right side
    33,214.05x = 671,804,041.86
  5. Step 5: Solve for x
    x = 671,804,041.86/33,214.05
  6. Step 6: Final answer
    x = 20,226.50

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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.