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Finding the Fourth Proportional to 33,140.68, 49,714.48 and 10,645.68

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Solution

The fourth proportional to 33,140.68, 49,714.48 and 10,645.68 is: 15,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140.68 : 49,714.48 = 10,645.68 : x
  2. Step 2: Convert to fraction form
    33,140.68/49,714.48 = 10,645.68/x
  3. Step 3: Cross multiply
    33,140.68x = 49,714.48 × 10,645.68
  4. Step 4: Simplify right side
    33,140.68x = 529,244,305.66
  5. Step 5: Solve for x
    x = 529,244,305.66/33,140.68
  6. Step 6: Final answer
    x = 15,969.63

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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.