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Finding the Fourth Proportional to 38,894.78, 58,332.44 and 11,192.78

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Solution

The fourth proportional to 38,894.78, 58,332.44 and 11,192.78 is: 16,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894.78 : 58,332.44 = 11,192.78 : x
  2. Step 2: Convert to fraction form
    38,894.78/58,332.44 = 11,192.78/x
  3. Step 3: Cross multiply
    38,894.78x = 58,332.44 × 11,192.78
  4. Step 4: Simplify right side
    38,894.78x = 652,902,167.78
  5. Step 5: Solve for x
    x = 652,902,167.78/38,894.78
  6. Step 6: Final answer
    x = 16,786.37

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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.