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Finding the Fourth Proportional to 30,811.38, 42,519.67 and 17,382.57

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Solution

The fourth proportional to 30,811.38, 42,519.67 and 17,382.57 is: 23,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.38 : 42,519.67 = 17,382.57 : x
  2. Step 2: Convert to fraction form
    30,811.38/42,519.67 = 17,382.57/x
  3. Step 3: Cross multiply
    30,811.38x = 42,519.67 × 17,382.57
  4. Step 4: Simplify right side
    30,811.38x = 739,101,140.15
  5. Step 5: Solve for x
    x = 739,101,140.15/30,811.38
  6. Step 6: Final answer
    x = 23,987.93

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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.