Home / 97,726-146,581.64-31,163.44

Finding the Fourth Proportional to 97,726, 146,581.64 and 31,163.44

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Solution

The fourth proportional to 97,726, 146,581.64 and 31,163.44 is: 46,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,726 : 146,581.64 = 31,163.44 : x
  2. Step 2: Convert to fraction form
    97,726/146,581.64 = 31,163.44/x
  3. Step 3: Cross multiply
    97,726x = 146,581.64 × 31,163.44
  4. Step 4: Simplify right side
    97,726x = 4,567,988,143.24
  5. Step 5: Solve for x
    x = 4,567,988,143.24/97,726
  6. Step 6: Final answer
    x = 46,742.81

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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.