Home / 31,534.92-47,301-7,841.97

Finding the Fourth Proportional to 31,534.92, 47,301 and 7,841.97

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Solution

The fourth proportional to 31,534.92, 47,301 and 7,841.97 is: 11,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.92 : 47,301 = 7,841.97 : x
  2. Step 2: Convert to fraction form
    31,534.92/47,301 = 7,841.97/x
  3. Step 3: Cross multiply
    31,534.92x = 47,301 × 7,841.97
  4. Step 4: Simplify right side
    31,534.92x = 370,933,022.97
  5. Step 5: Solve for x
    x = 370,933,022.97/31,534.92
  6. Step 6: Final answer
    x = 11,762.61

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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.