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Finding the Fourth Proportional to 103,653.35, 155,512.89 and 37,092

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Solution

The fourth proportional to 103,653.35, 155,512.89 and 37,092 is: 55,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653.35 : 155,512.89 = 37,092 : x
  2. Step 2: Convert to fraction form
    103,653.35/155,512.89 = 37,092/x
  3. Step 3: Cross multiply
    103,653.35x = 155,512.89 × 37,092
  4. Step 4: Simplify right side
    103,653.35x = 5,768,284,115.88
  5. Step 5: Solve for x
    x = 5,768,284,115.88/103,653.35
  6. Step 6: Final answer
    x = 55,649.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.