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Finding the Fourth Proportional to 33,992, 46,908.96 and 19,088

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Solution

The fourth proportional to 33,992, 46,908.96 and 19,088 is: 26,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,992 : 46,908.96 = 19,088 : x
  2. Step 2: Convert to fraction form
    33,992/46,908.96 = 19,088/x
  3. Step 3: Cross multiply
    33,992x = 46,908.96 × 19,088
  4. Step 4: Simplify right side
    33,992x = 895,398,228.48
  5. Step 5: Solve for x
    x = 895,398,228.48/33,992
  6. Step 6: Final answer
    x = 26,341.44

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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.