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Finding the Fourth Proportional to 82,774, 124,197.54 and 27,370

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Solution

The fourth proportional to 82,774, 124,197.54 and 27,370 is: 41,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774 : 124,197.54 = 27,370 : x
  2. Step 2: Convert to fraction form
    82,774/124,197.54 = 27,370/x
  3. Step 3: Cross multiply
    82,774x = 124,197.54 × 27,370
  4. Step 4: Simplify right side
    82,774x = 3,399,286,669.80
  5. Step 5: Solve for x
    x = 3,399,286,669.80/82,774
  6. Step 6: Final answer
    x = 41,067.08

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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.