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Finding the Fourth Proportional to 30,102.62, 41,537.66 and 17,356.28

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Solution

The fourth proportional to 30,102.62, 41,537.66 and 17,356.28 is: 23,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.62 : 41,537.66 = 17,356.28 : x
  2. Step 2: Convert to fraction form
    30,102.62/41,537.66 = 17,356.28/x
  3. Step 3: Cross multiply
    30,102.62x = 41,537.66 × 17,356.28
  4. Step 4: Simplify right side
    30,102.62x = 720,939,257.50
  5. Step 5: Solve for x
    x = 720,939,257.50/30,102.62
  6. Step 6: Final answer
    x = 23,949.39

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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.