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Finding the Fourth Proportional to 103,922.56, 155,883.84 and 37,362.88

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Solution

The fourth proportional to 103,922.56, 155,883.84 and 37,362.88 is: 56,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,922.56 : 155,883.84 = 37,362.88 : x
  2. Step 2: Convert to fraction form
    103,922.56/155,883.84 = 37,362.88/x
  3. Step 3: Cross multiply
    103,922.56x = 155,883.84 × 37,362.88
  4. Step 4: Simplify right side
    103,922.56x = 5,824,269,207.86
  5. Step 5: Solve for x
    x = 5,824,269,207.86/103,922.56
  6. Step 6: Final answer
    x = 56,044.32

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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.