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Finding the Fourth Proportional to 114,951.48, 172,427.22 and 31,843.32

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Solution

The fourth proportional to 114,951.48, 172,427.22 and 31,843.32 is: 47,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951.48 : 172,427.22 = 31,843.32 : x
  2. Step 2: Convert to fraction form
    114,951.48/172,427.22 = 31,843.32/x
  3. Step 3: Cross multiply
    114,951.48x = 172,427.22 × 31,843.32
  4. Step 4: Simplify right side
    114,951.48x = 5,490,655,143.17
  5. Step 5: Solve for x
    x = 5,490,655,143.17/114,951.48
  6. Step 6: Final answer
    x = 47,764.98

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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.