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Finding the Fourth Proportional to 30,498.46, 42,086.84 and 17,069.38

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Solution

The fourth proportional to 30,498.46, 42,086.84 and 17,069.38 is: 23,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.46 : 42,086.84 = 17,069.38 : x
  2. Step 2: Convert to fraction form
    30,498.46/42,086.84 = 17,069.38/x
  3. Step 3: Cross multiply
    30,498.46x = 42,086.84 × 17,069.38
  4. Step 4: Simplify right side
    30,498.46x = 718,396,264.96
  5. Step 5: Solve for x
    x = 718,396,264.96/30,498.46
  6. Step 6: Final answer
    x = 23,555.17

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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.