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Finding the Fourth Proportional to 103,213.26, 154,782.74 and 35,726.96

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Solution

The fourth proportional to 103,213.26, 154,782.74 and 35,726.96 is: 53,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.26 : 154,782.74 = 35,726.96 : x
  2. Step 2: Convert to fraction form
    103,213.26/154,782.74 = 35,726.96/x
  3. Step 3: Cross multiply
    103,213.26x = 154,782.74 × 35,726.96
  4. Step 4: Simplify right side
    103,213.26x = 5,529,916,165.33
  5. Step 5: Solve for x
    x = 5,529,916,165.33/103,213.26
  6. Step 6: Final answer
    x = 53,577.57

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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.