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Finding the Fourth Proportional to 75,357, 103,997.52 and 41,823

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Solution

The fourth proportional to 75,357, 103,997.52 and 41,823 is: 57,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,357 : 103,997.52 = 41,823 : x
  2. Step 2: Convert to fraction form
    75,357/103,997.52 = 41,823/x
  3. Step 3: Cross multiply
    75,357x = 103,997.52 × 41,823
  4. Step 4: Simplify right side
    75,357x = 4,349,488,278.96
  5. Step 5: Solve for x
    x = 4,349,488,278.96/75,357
  6. Step 6: Final answer
    x = 57,718.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.