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Finding the Fourth Proportional to 30,795.32, 42,497.68 and 19,469.78

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Solution

The fourth proportional to 30,795.32, 42,497.68 and 19,469.78 is: 26,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.32 : 42,497.68 = 19,469.78 : x
  2. Step 2: Convert to fraction form
    30,795.32/42,497.68 = 19,469.78/x
  3. Step 3: Cross multiply
    30,795.32x = 42,497.68 × 19,469.78
  4. Step 4: Simplify right side
    30,795.32x = 827,420,480.11
  5. Step 5: Solve for x
    x = 827,420,480.11/30,795.32
  6. Step 6: Final answer
    x = 26,868.38

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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.