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Finding the Fourth Proportional to 89,002, 122,823.12 and 49,258

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Solution

The fourth proportional to 89,002, 122,823.12 and 49,258 is: 67,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,002 : 122,823.12 = 49,258 : x
  2. Step 2: Convert to fraction form
    89,002/122,823.12 = 49,258/x
  3. Step 3: Cross multiply
    89,002x = 122,823.12 × 49,258
  4. Step 4: Simplify right side
    89,002x = 6,050,021,244.96
  5. Step 5: Solve for x
    x = 6,050,021,244.96/89,002
  6. Step 6: Final answer
    x = 67,976.24

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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.