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Finding the Fourth Proportional to 30,576.58, 42,177.78 and 19,228.10

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Solution

The fourth proportional to 30,576.58, 42,177.78 and 19,228.10 is: 26,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.58 : 42,177.78 = 19,228.10 : x
  2. Step 2: Convert to fraction form
    30,576.58/42,177.78 = 19,228.10/x
  3. Step 3: Cross multiply
    30,576.58x = 42,177.78 × 19,228.10
  4. Step 4: Simplify right side
    30,576.58x = 810,998,571.62
  5. Step 5: Solve for x
    x = 810,998,571.62/30,576.58
  6. Step 6: Final answer
    x = 26,523.52

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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.