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Finding the Fourth Proportional to 30,102.38, 41,540.82 and 16,490.32

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Solution

The fourth proportional to 30,102.38, 41,540.82 and 16,490.32 is: 22,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.38 : 41,540.82 = 16,490.32 : x
  2. Step 2: Convert to fraction form
    30,102.38/41,540.82 = 16,490.32/x
  3. Step 3: Cross multiply
    30,102.38x = 41,540.82 × 16,490.32
  4. Step 4: Simplify right side
    30,102.38x = 685,021,207.16
  5. Step 5: Solve for x
    x = 685,021,207.16/30,102.38
  6. Step 6: Final answer
    x = 22,756.38

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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.