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Finding the Fourth Proportional to 30,760.38, 42,448.32 and 19,435.95

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Solution

The fourth proportional to 30,760.38, 42,448.32 and 19,435.95 is: 26,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.38 : 42,448.32 = 19,435.95 : x
  2. Step 2: Convert to fraction form
    30,760.38/42,448.32 = 19,435.95/x
  3. Step 3: Cross multiply
    30,760.38x = 42,448.32 × 19,435.95
  4. Step 4: Simplify right side
    30,760.38x = 825,023,425.10
  5. Step 5: Solve for x
    x = 825,023,425.10/30,760.38
  6. Step 6: Final answer
    x = 26,820.98

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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.