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Finding the Fourth Proportional to 40,361, 55,698.24 and 22,697

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Solution

The fourth proportional to 40,361, 55,698.24 and 22,697 is: 31,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,361 : 55,698.24 = 22,697 : x
  2. Step 2: Convert to fraction form
    40,361/55,698.24 = 22,697/x
  3. Step 3: Cross multiply
    40,361x = 55,698.24 × 22,697
  4. Step 4: Simplify right side
    40,361x = 1,264,182,953.28
  5. Step 5: Solve for x
    x = 1,264,182,953.28/40,361
  6. Step 6: Final answer
    x = 31,321.89

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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.