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Finding the Fourth Proportional to 30,117.44, 41,565 and 17,541.38

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Solution

The fourth proportional to 30,117.44, 41,565 and 17,541.38 is: 24,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.44 : 41,565 = 17,541.38 : x
  2. Step 2: Convert to fraction form
    30,117.44/41,565 = 17,541.38/x
  3. Step 3: Cross multiply
    30,117.44x = 41,565 × 17,541.38
  4. Step 4: Simplify right side
    30,117.44x = 729,107,251.88
  5. Step 5: Solve for x
    x = 729,107,251.88/30,117.44
  6. Step 6: Final answer
    x = 24,208.81

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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.