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Finding the Fourth Proportional to 75,245.96, 103,837.95 and 41,254.52

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Solution

The fourth proportional to 75,245.96, 103,837.95 and 41,254.52 is: 56,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,245.96 : 103,837.95 = 41,254.52 : x
  2. Step 2: Convert to fraction form
    75,245.96/103,837.95 = 41,254.52/x
  3. Step 3: Cross multiply
    75,245.96x = 103,837.95 × 41,254.52
  4. Step 4: Simplify right side
    75,245.96x = 4,283,784,265.84
  5. Step 5: Solve for x
    x = 4,283,784,265.84/75,245.96
  6. Step 6: Final answer
    x = 56,930.42

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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.