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Finding the Fourth Proportional to 33,368, 46,049.28 and 18,464

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Solution

The fourth proportional to 33,368, 46,049.28 and 18,464 is: 25,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368 : 46,049.28 = 18,464 : x
  2. Step 2: Convert to fraction form
    33,368/46,049.28 = 18,464/x
  3. Step 3: Cross multiply
    33,368x = 46,049.28 × 18,464
  4. Step 4: Simplify right side
    33,368x = 850,253,905.92
  5. Step 5: Solve for x
    x = 850,253,905.92/33,368
  6. Step 6: Final answer
    x = 25,481.12

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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.