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Finding the Fourth Proportional to 89,031.86, 122,864.07 and 48,745.94

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Solution

The fourth proportional to 89,031.86, 122,864.07 and 48,745.94 is: 67,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031.86 : 122,864.07 = 48,745.94 : x
  2. Step 2: Convert to fraction form
    89,031.86/122,864.07 = 48,745.94/x
  3. Step 3: Cross multiply
    89,031.86x = 122,864.07 × 48,745.94
  4. Step 4: Simplify right side
    89,031.86x = 5,989,124,584.38
  5. Step 5: Solve for x
    x = 5,989,124,584.38/89,031.86
  6. Step 6: Final answer
    x = 67,269.45

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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.