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Finding the Fourth Proportional to 33,603.06, 50,410.02 and 10,224

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Solution

The fourth proportional to 33,603.06, 50,410.02 and 10,224 is: 15,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,603.06 : 50,410.02 = 10,224 : x
  2. Step 2: Convert to fraction form
    33,603.06/50,410.02 = 10,224/x
  3. Step 3: Cross multiply
    33,603.06x = 50,410.02 × 10,224
  4. Step 4: Simplify right side
    33,603.06x = 515,392,044.48
  5. Step 5: Solve for x
    x = 515,392,044.48/33,603.06
  6. Step 6: Final answer
    x = 15,337.65

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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.