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Finding the Fourth Proportional to 33,604.64, 50,402.52 and 11,417.12

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Solution

The fourth proportional to 33,604.64, 50,402.52 and 11,417.12 is: 17,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,604.64 : 50,402.52 = 11,417.12 : x
  2. Step 2: Convert to fraction form
    33,604.64/50,402.52 = 11,417.12/x
  3. Step 3: Cross multiply
    33,604.64x = 50,402.52 × 11,417.12
  4. Step 4: Simplify right side
    33,604.64x = 575,451,619.14
  5. Step 5: Solve for x
    x = 575,451,619.14/33,604.64
  6. Step 6: Final answer
    x = 17,124.17

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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.