Home / 51,933.54-71,644.82-31,782.36

Finding the Fourth Proportional to 51,933.54, 71,644.82 and 31,782.36

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Solution

The fourth proportional to 51,933.54, 71,644.82 and 31,782.36 is: 43,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933.54 : 71,644.82 = 31,782.36 : x
  2. Step 2: Convert to fraction form
    51,933.54/71,644.82 = 31,782.36/x
  3. Step 3: Cross multiply
    51,933.54x = 71,644.82 × 31,782.36
  4. Step 4: Simplify right side
    51,933.54x = 2,277,041,461.38
  5. Step 5: Solve for x
    x = 2,277,041,461.38/51,933.54
  6. Step 6: Final answer
    x = 43,845.30

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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.