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Finding the Fourth Proportional to 36,333, 54,513.18 and 11,709

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Solution

The fourth proportional to 36,333, 54,513.18 and 11,709 is: 17,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,333 : 54,513.18 = 11,709 : x
  2. Step 2: Convert to fraction form
    36,333/54,513.18 = 11,709/x
  3. Step 3: Cross multiply
    36,333x = 54,513.18 × 11,709
  4. Step 4: Simplify right side
    36,333x = 638,294,824.62
  5. Step 5: Solve for x
    x = 638,294,824.62/36,333
  6. Step 6: Final answer
    x = 17,567.91

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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.