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Finding the Fourth Proportional to 89,109.84, 122,974.20 and 48,827.16

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Solution

The fourth proportional to 89,109.84, 122,974.20 and 48,827.16 is: 67,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,109.84 : 122,974.20 = 48,827.16 : x
  2. Step 2: Convert to fraction form
    89,109.84/122,974.20 = 48,827.16/x
  3. Step 3: Cross multiply
    89,109.84x = 122,974.20 × 48,827.16
  4. Step 4: Simplify right side
    89,109.84x = 6,004,480,939.27
  5. Step 5: Solve for x
    x = 6,004,480,939.27/89,109.84
  6. Step 6: Final answer
    x = 67,382.92

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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.