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Finding the Fourth Proportional to 61,514.31, 92,238.64 and 31,858.59

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Solution

The fourth proportional to 61,514.31, 92,238.64 and 31,858.59 is: 47,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,514.31 : 92,238.64 = 31,858.59 : x
  2. Step 2: Convert to fraction form
    61,514.31/92,238.64 = 31,858.59/x
  3. Step 3: Cross multiply
    61,514.31x = 92,238.64 × 31,858.59
  4. Step 4: Simplify right side
    61,514.31x = 2,938,593,013.92
  5. Step 5: Solve for x
    x = 2,938,593,013.92/61,514.31
  6. Step 6: Final answer
    x = 47,770.88

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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.