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Finding the Fourth Proportional to 30,972.76, 42,740.97 and 17,361.97

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Solution

The fourth proportional to 30,972.76, 42,740.97 and 17,361.97 is: 23,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.76 : 42,740.97 = 17,361.97 : x
  2. Step 2: Convert to fraction form
    30,972.76/42,740.97 = 17,361.97/x
  3. Step 3: Cross multiply
    30,972.76x = 42,740.97 × 17,361.97
  4. Step 4: Simplify right side
    30,972.76x = 742,067,438.91
  5. Step 5: Solve for x
    x = 742,067,438.91/30,972.76
  6. Step 6: Final answer
    x = 23,958.71

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1.5x scale

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.