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Finding the Fourth Proportional to 49,258, 73,887 and 12,322

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Solution

The fourth proportional to 49,258, 73,887 and 12,322 is: 18,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258 : 73,887 = 12,322 : x
  2. Step 2: Convert to fraction form
    49,258/73,887 = 12,322/x
  3. Step 3: Cross multiply
    49,258x = 73,887 × 12,322
  4. Step 4: Simplify right side
    49,258x = 910,435,614
  5. Step 5: Solve for x
    x = 910,435,614/49,258
  6. Step 6: Final answer
    x = 18,483

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.