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Finding the Fourth Proportional to 114,951.72, 172,427.65 and 31,845.72

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Solution

The fourth proportional to 114,951.72, 172,427.65 and 31,845.72 is: 47,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951.72 : 172,427.65 = 31,845.72 : x
  2. Step 2: Convert to fraction form
    114,951.72/172,427.65 = 31,845.72/x
  3. Step 3: Cross multiply
    114,951.72x = 172,427.65 × 31,845.72
  4. Step 4: Simplify right side
    114,951.72x = 5,491,082,582.54
  5. Step 5: Solve for x
    x = 5,491,082,582.54/114,951.72
  6. Step 6: Final answer
    x = 47,768.60

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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.