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Finding the Fourth Proportional to 30,102.61, 41,537.67 and 17,356.27

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Solution

The fourth proportional to 30,102.61, 41,537.67 and 17,356.27 is: 23,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.61 : 41,537.67 = 17,356.27 : x
  2. Step 2: Convert to fraction form
    30,102.61/41,537.67 = 17,356.27/x
  3. Step 3: Cross multiply
    30,102.61x = 41,537.67 × 17,356.27
  4. Step 4: Simplify right side
    30,102.61x = 720,939,015.69
  5. Step 5: Solve for x
    x = 720,939,015.69/30,102.61
  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.