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Finding the Fourth Proportional to 33,775.76, 46,632.84 and 21,047.42

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Solution

The fourth proportional to 33,775.76, 46,632.84 and 21,047.42 is: 29,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775.76 : 46,632.84 = 21,047.42 : x
  2. Step 2: Convert to fraction form
    33,775.76/46,632.84 = 21,047.42/x
  3. Step 3: Cross multiply
    33,775.76x = 46,632.84 × 21,047.42
  4. Step 4: Simplify right side
    33,775.76x = 981,500,969.27
  5. Step 5: Solve for x
    x = 981,500,969.27/33,775.76
  6. Step 6: Final answer
    x = 29,059.33

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