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Finding the Fourth Proportional to 34,472.36, 51,716.64 and 11,097.92

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Solution

The fourth proportional to 34,472.36, 51,716.64 and 11,097.92 is: 16,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.36 : 51,716.64 = 11,097.92 : x
  2. Step 2: Convert to fraction form
    34,472.36/51,716.64 = 11,097.92/x
  3. Step 3: Cross multiply
    34,472.36x = 51,716.64 × 11,097.92
  4. Step 4: Simplify right side
    34,472.36x = 573,947,133.39
  5. Step 5: Solve for x
    x = 573,947,133.39/34,472.36
  6. Step 6: Final answer
    x = 16,649.49

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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.