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Finding the Fourth Proportional to 30,772.38, 42,464.88 and 19,447.95

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Solution

The fourth proportional to 30,772.38, 42,464.88 and 19,447.95 is: 26,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.38 : 42,464.88 = 19,447.95 : x
  2. Step 2: Convert to fraction form
    30,772.38/42,464.88 = 19,447.95/x
  3. Step 3: Cross multiply
    30,772.38x = 42,464.88 × 19,447.95
  4. Step 4: Simplify right side
    30,772.38x = 825,854,863.00
  5. Step 5: Solve for x
    x = 825,854,863.00/30,772.38
  6. Step 6: Final answer
    x = 26,837.54

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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.