Home / 31,822-43,914.36-17,676.16

Finding the Fourth Proportional to 31,822, 43,914.36 and 17,676.16

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Solution

The fourth proportional to 31,822, 43,914.36 and 17,676.16 is: 24,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822 : 43,914.36 = 17,676.16 : x
  2. Step 2: Convert to fraction form
    31,822/43,914.36 = 17,676.16/x
  3. Step 3: Cross multiply
    31,822x = 43,914.36 × 17,676.16
  4. Step 4: Simplify right side
    31,822x = 776,237,253.66
  5. Step 5: Solve for x
    x = 776,237,253.66/31,822
  6. Step 6: Final answer
    x = 24,393.10

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Why These Related Problems?

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