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Finding the Fourth Proportional to 64,195.82, 96,231.14 and 26,766.59

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Solution

The fourth proportional to 64,195.82, 96,231.14 and 26,766.59 is: 40,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,195.82 : 96,231.14 = 26,766.59 : x
  2. Step 2: Convert to fraction form
    64,195.82/96,231.14 = 26,766.59/x
  3. Step 3: Cross multiply
    64,195.82x = 96,231.14 × 26,766.59
  4. Step 4: Simplify right side
    64,195.82x = 2,575,779,055.37
  5. Step 5: Solve for x
    x = 2,575,779,055.37/64,195.82
  6. Step 6: Final answer
    x = 40,123.78

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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.