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Finding the Fourth Proportional to 50,486.94, 69,669.12 and 27,825.86

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Solution

The fourth proportional to 50,486.94, 69,669.12 and 27,825.86 is: 38,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,486.94 : 69,669.12 = 27,825.86 : x
  2. Step 2: Convert to fraction form
    50,486.94/69,669.12 = 27,825.86/x
  3. Step 3: Cross multiply
    50,486.94x = 69,669.12 × 27,825.86
  4. Step 4: Simplify right side
    50,486.94x = 1,938,603,179.44
  5. Step 5: Solve for x
    x = 1,938,603,179.44/50,486.94
  6. Step 6: Final answer
    x = 38,398.11

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1.5x scale

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.