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Finding the Fourth Proportional to 75,243.29, 103,836.90 and 41,254.88

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Solution

The fourth proportional to 75,243.29, 103,836.90 and 41,254.88 is: 56,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243.29 : 103,836.90 = 41,254.88 : x
  2. Step 2: Convert to fraction form
    75,243.29/103,836.90 = 41,254.88/x
  3. Step 3: Cross multiply
    75,243.29x = 103,836.90 × 41,254.88
  4. Step 4: Simplify right side
    75,243.29x = 4,283,778,484.59
  5. Step 5: Solve for x
    x = 4,283,778,484.59/75,243.29
  6. Step 6: Final answer
    x = 56,932.37

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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.