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Finding the Fourth Proportional to 30,775.41, 42,458.64 and 23,606.61

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Solution

The fourth proportional to 30,775.41, 42,458.64 and 23,606.61 is: 32,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.41 : 42,458.64 = 23,606.61 : x
  2. Step 2: Convert to fraction form
    30,775.41/42,458.64 = 23,606.61/x
  3. Step 3: Cross multiply
    30,775.41x = 42,458.64 × 23,606.61
  4. Step 4: Simplify right side
    30,775.41x = 1,002,304,555.61
  5. Step 5: Solve for x
    x = 1,002,304,555.61/30,775.41
  6. Step 6: Final answer
    x = 32,568.36

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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.