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Finding the Fourth Proportional to 89,019, 122,846.22 and 49,275

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Solution

The fourth proportional to 89,019, 122,846.22 and 49,275 is: 67,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,019 : 122,846.22 = 49,275 : x
  2. Step 2: Convert to fraction form
    89,019/122,846.22 = 49,275/x
  3. Step 3: Cross multiply
    89,019x = 122,846.22 × 49,275
  4. Step 4: Simplify right side
    89,019x = 6,053,247,490.50
  5. Step 5: Solve for x
    x = 6,053,247,490.50/89,019
  6. Step 6: Final answer
    x = 67,999.50

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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.