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Finding the Fourth Proportional to 75,286.24, 103,944 and 51,404.24

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Solution

The fourth proportional to 75,286.24, 103,944 and 51,404.24 is: 70,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.24 : 103,944 = 51,404.24 : x
  2. Step 2: Convert to fraction form
    75,286.24/103,944 = 51,404.24/x
  3. Step 3: Cross multiply
    75,286.24x = 103,944 × 51,404.24
  4. Step 4: Simplify right side
    75,286.24x = 5,343,162,322.56
  5. Step 5: Solve for x
    x = 5,343,162,322.56/75,286.24
  6. Step 6: Final answer
    x = 70,971.30

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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.