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Finding the Fourth Proportional to 30,853.38, 42,561.99 and 18,098.22

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Solution

The fourth proportional to 30,853.38, 42,561.99 and 18,098.22 is: 24,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.38 : 42,561.99 = 18,098.22 : x
  2. Step 2: Convert to fraction form
    30,853.38/42,561.99 = 18,098.22/x
  3. Step 3: Cross multiply
    30,853.38x = 42,561.99 × 18,098.22
  4. Step 4: Simplify right side
    30,853.38x = 770,296,258.66
  5. Step 5: Solve for x
    x = 770,296,258.66/30,853.38
  6. Step 6: Final answer
    x = 24,966.35

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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.