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Finding the Fourth Proportional to 31,409.73, 43,300.56 and 22,453.95

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Solution

The fourth proportional to 31,409.73, 43,300.56 and 22,453.95 is: 30,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.73 : 43,300.56 = 22,453.95 : x
  2. Step 2: Convert to fraction form
    31,409.73/43,300.56 = 22,453.95/x
  3. Step 3: Cross multiply
    31,409.73x = 43,300.56 × 22,453.95
  4. Step 4: Simplify right side
    31,409.73x = 972,268,609.21
  5. Step 5: Solve for x
    x = 972,268,609.21/31,409.73
  6. Step 6: Final answer
    x = 30,954.38

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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.