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Finding the Fourth Proportional to 33,289.59, 49,937.82 and 11,097

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Solution

The fourth proportional to 33,289.59, 49,937.82 and 11,097 is: 16,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,289.59 : 49,937.82 = 11,097 : x
  2. Step 2: Convert to fraction form
    33,289.59/49,937.82 = 11,097/x
  3. Step 3: Cross multiply
    33,289.59x = 49,937.82 × 11,097
  4. Step 4: Simplify right side
    33,289.59x = 554,159,988.54
  5. Step 5: Solve for x
    x = 554,159,988.54/33,289.59
  6. Step 6: Final answer
    x = 16,646.65

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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.