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Finding the Fourth Proportional to 75,005.72, 103,401.06 and 51,101.81

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Solution

The fourth proportional to 75,005.72, 103,401.06 and 51,101.81 is: 70,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,005.72 : 103,401.06 = 51,101.81 : x
  2. Step 2: Convert to fraction form
    75,005.72/103,401.06 = 51,101.81/x
  3. Step 3: Cross multiply
    75,005.72x = 103,401.06 × 51,101.81
  4. Step 4: Simplify right side
    75,005.72x = 5,283,981,321.92
  5. Step 5: Solve for x
    x = 5,283,981,321.92/75,005.72
  6. Step 6: Final answer
    x = 70,447.71

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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.