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Finding the Fourth Proportional to 41,016, 61,525.44 and 23,477.76

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Solution

The fourth proportional to 41,016, 61,525.44 and 23,477.76 is: 35,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,016 : 61,525.44 = 23,477.76 : x
  2. Step 2: Convert to fraction form
    41,016/61,525.44 = 23,477.76/x
  3. Step 3: Cross multiply
    41,016x = 61,525.44 × 23,477.76
  4. Step 4: Simplify right side
    41,016x = 1,444,479,514.21
  5. Step 5: Solve for x
    x = 1,444,479,514.21/41,016
  6. Step 6: Final answer
    x = 35,217.46

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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.