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Finding the Fourth Proportional to 33,600, 46,368 and 18,699.52

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Solution

The fourth proportional to 33,600, 46,368 and 18,699.52 is: 25,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600 : 46,368 = 18,699.52 : x
  2. Step 2: Convert to fraction form
    33,600/46,368 = 18,699.52/x
  3. Step 3: Cross multiply
    33,600x = 46,368 × 18,699.52
  4. Step 4: Simplify right side
    33,600x = 867,059,343.36
  5. Step 5: Solve for x
    x = 867,059,343.36/33,600
  6. Step 6: Final answer
    x = 25,805.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.