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Finding the Fourth Proportional to 30,977.84, 42,716.76 and 22,016

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Solution

The fourth proportional to 30,977.84, 42,716.76 and 22,016 is: 30,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.84 : 42,716.76 = 22,016 : x
  2. Step 2: Convert to fraction form
    30,977.84/42,716.76 = 22,016/x
  3. Step 3: Cross multiply
    30,977.84x = 42,716.76 × 22,016
  4. Step 4: Simplify right side
    30,977.84x = 940,452,188.16
  5. Step 5: Solve for x
    x = 940,452,188.16/30,977.84
  6. Step 6: Final answer
    x = 30,358.87

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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.