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Finding the Fourth Proportional to 75,118.73, 103,663.87 and 41,129.38

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Solution

The fourth proportional to 75,118.73, 103,663.87 and 41,129.38 is: 56,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.73 : 103,663.87 = 41,129.38 : x
  2. Step 2: Convert to fraction form
    75,118.73/103,663.87 = 41,129.38/x
  3. Step 3: Cross multiply
    75,118.73x = 103,663.87 × 41,129.38
  4. Step 4: Simplify right side
    75,118.73x = 4,263,630,701.50
  5. Step 5: Solve for x
    x = 4,263,630,701.50/75,118.73
  6. Step 6: Final answer
    x = 56,758.56

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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.