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Finding the Fourth Proportional to 96,043.50, 144,066.06 and 33,714

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Solution

The fourth proportional to 96,043.50, 144,066.06 and 33,714 is: 50,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,043.50 : 144,066.06 = 33,714 : x
  2. Step 2: Convert to fraction form
    96,043.50/144,066.06 = 33,714/x
  3. Step 3: Cross multiply
    96,043.50x = 144,066.06 × 33,714
  4. Step 4: Simplify right side
    96,043.50x = 4,857,043,146.84
  5. Step 5: Solve for x
    x = 4,857,043,146.84/96,043.50
  6. Step 6: Final answer
    x = 50,571.28

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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.