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Finding the Fourth Proportional to 77,826, 116,758.44 and 22,422

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Solution

The fourth proportional to 77,826, 116,758.44 and 22,422 is: 33,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,826 : 116,758.44 = 22,422 : x
  2. Step 2: Convert to fraction form
    77,826/116,758.44 = 22,422/x
  3. Step 3: Cross multiply
    77,826x = 116,758.44 × 22,422
  4. Step 4: Simplify right side
    77,826x = 2,617,957,741.68
  5. Step 5: Solve for x
    x = 2,617,957,741.68/77,826
  6. Step 6: Final answer
    x = 33,638.60

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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.