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Finding the Fourth Proportional to 33,952, 46,857.36 and 19,048

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Solution

The fourth proportional to 33,952, 46,857.36 and 19,048 is: 26,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952 : 46,857.36 = 19,048 : x
  2. Step 2: Convert to fraction form
    33,952/46,857.36 = 19,048/x
  3. Step 3: Cross multiply
    33,952x = 46,857.36 × 19,048
  4. Step 4: Simplify right side
    33,952x = 892,538,993.28
  5. Step 5: Solve for x
    x = 892,538,993.28/33,952
  6. Step 6: Final answer
    x = 26,288.26

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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.