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Finding the Fourth Proportional to 30,807.66, 42,511.28 and 22,745.54

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Solution

The fourth proportional to 30,807.66, 42,511.28 and 22,745.54 is: 31,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.66 : 42,511.28 = 22,745.54 : x
  2. Step 2: Convert to fraction form
    30,807.66/42,511.28 = 22,745.54/x
  3. Step 3: Cross multiply
    30,807.66x = 42,511.28 × 22,745.54
  4. Step 4: Simplify right side
    30,807.66x = 966,942,019.69
  5. Step 5: Solve for x
    x = 966,942,019.69/30,807.66
  6. Step 6: Final answer
    x = 31,386.42

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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.