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Finding the Fourth Proportional to 89,031.62, 122,863.64 and 48,745.38

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Solution

The fourth proportional to 89,031.62, 122,863.64 and 48,745.38 is: 67,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031.62 : 122,863.64 = 48,745.38 : x
  2. Step 2: Convert to fraction form
    89,031.62/122,863.64 = 48,745.38/x
  3. Step 3: Cross multiply
    89,031.62x = 122,863.64 × 48,745.38
  4. Step 4: Simplify right side
    89,031.62x = 5,989,034,576.26
  5. Step 5: Solve for x
    x = 5,989,034,576.26/89,031.62
  6. Step 6: Final answer
    x = 67,268.63

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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.