Home / 31,222-46,832.52-10,162.96

Finding the Fourth Proportional to 31,222, 46,832.52 and 10,162.96

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Solution

The fourth proportional to 31,222, 46,832.52 and 10,162.96 is: 15,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222 : 46,832.52 = 10,162.96 : x
  2. Step 2: Convert to fraction form
    31,222/46,832.52 = 10,162.96/x
  3. Step 3: Cross multiply
    31,222x = 46,832.52 × 10,162.96
  4. Step 4: Simplify right side
    31,222x = 475,957,027.46
  5. Step 5: Solve for x
    x = 475,957,027.46/31,222
  6. Step 6: Final answer
    x = 15,244.28

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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.