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Finding the Fourth Proportional to 75,194.98, 103,764.60 and 41,196.70

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Solution

The fourth proportional to 75,194.98, 103,764.60 and 41,196.70 is: 56,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194.98 : 103,764.60 = 41,196.70 : x
  2. Step 2: Convert to fraction form
    75,194.98/103,764.60 = 41,196.70/x
  3. Step 3: Cross multiply
    75,194.98x = 103,764.60 × 41,196.70
  4. Step 4: Simplify right side
    75,194.98x = 4,274,759,096.82
  5. Step 5: Solve for x
    x = 4,274,759,096.82/75,194.98
  6. Step 6: Final answer
    x = 56,849.00

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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.