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Finding the Fourth Proportional to 117,786.26, 176,679.39 and 47,714.78

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Solution

The fourth proportional to 117,786.26, 176,679.39 and 47,714.78 is: 71,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,786.26 : 176,679.39 = 47,714.78 : x
  2. Step 2: Convert to fraction form
    117,786.26/176,679.39 = 47,714.78/x
  3. Step 3: Cross multiply
    117,786.26x = 176,679.39 × 47,714.78
  4. Step 4: Simplify right side
    117,786.26x = 8,430,218,224.38
  5. Step 5: Solve for x
    x = 8,430,218,224.38/117,786.26
  6. Step 6: Final answer
    x = 71,572.17

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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.