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Finding the Fourth Proportional to 33,686.80, 46,474.50 and 19,531.24

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Solution

The fourth proportional to 33,686.80, 46,474.50 and 19,531.24 is: 26,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.80 : 46,474.50 = 19,531.24 : x
  2. Step 2: Convert to fraction form
    33,686.80/46,474.50 = 19,531.24/x
  3. Step 3: Cross multiply
    33,686.80x = 46,474.50 × 19,531.24
  4. Step 4: Simplify right side
    33,686.80x = 907,704,613.38
  5. Step 5: Solve for x
    x = 907,704,613.38/33,686.80
  6. Step 6: Final answer
    x = 26,945.41

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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.