Home / 31,824-43,917.12-17,678.16

Finding the Fourth Proportional to 31,824, 43,917.12 and 17,678.16

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Solution

The fourth proportional to 31,824, 43,917.12 and 17,678.16 is: 24,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824 : 43,917.12 = 17,678.16 : x
  2. Step 2: Convert to fraction form
    31,824/43,917.12 = 17,678.16/x
  3. Step 3: Cross multiply
    31,824x = 43,917.12 × 17,678.16
  4. Step 4: Simplify right side
    31,824x = 776,373,874.10
  5. Step 5: Solve for x
    x = 776,373,874.10/31,824
  6. Step 6: Final answer
    x = 24,395.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.