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Finding the Fourth Proportional to 33,932, 46,836.70 and 22,754

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Solution

The fourth proportional to 33,932, 46,836.70 and 22,754 is: 31,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,932 : 46,836.70 = 22,754 : x
  2. Step 2: Convert to fraction form
    33,932/46,836.70 = 22,754/x
  3. Step 3: Cross multiply
    33,932x = 46,836.70 × 22,754
  4. Step 4: Simplify right side
    33,932x = 1,065,722,271.80
  5. Step 5: Solve for x
    x = 1,065,722,271.80/33,932
  6. Step 6: Final answer
    x = 31,407.59

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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.