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Finding the Fourth Proportional to 102,514.61, 153,794.50 and 31,447.04

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Solution

The fourth proportional to 102,514.61, 153,794.50 and 31,447.04 is: 47,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.61 : 153,794.50 = 31,447.04 : x
  2. Step 2: Convert to fraction form
    102,514.61/153,794.50 = 31,447.04/x
  3. Step 3: Cross multiply
    102,514.61x = 153,794.50 × 31,447.04
  4. Step 4: Simplify right side
    102,514.61x = 4,836,380,945.69
  5. Step 5: Solve for x
    x = 4,836,380,945.69/102,514.61
  6. Step 6: Final answer
    x = 47,177.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.