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Finding the Fourth Proportional to 75,935.92, 113,900.64 and 23,343.16

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Solution

The fourth proportional to 75,935.92, 113,900.64 and 23,343.16 is: 35,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,935.92 : 113,900.64 = 23,343.16 : x
  2. Step 2: Convert to fraction form
    75,935.92/113,900.64 = 23,343.16/x
  3. Step 3: Cross multiply
    75,935.92x = 113,900.64 × 23,343.16
  4. Step 4: Simplify right side
    75,935.92x = 2,658,800,863.62
  5. Step 5: Solve for x
    x = 2,658,800,863.62/75,935.92
  6. Step 6: Final answer
    x = 35,013.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.