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Finding the Fourth Proportional to 50,539.08, 69,745.62 and 27,570.16

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Solution

The fourth proportional to 50,539.08, 69,745.62 and 27,570.16 is: 38,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,539.08 : 69,745.62 = 27,570.16 : x
  2. Step 2: Convert to fraction form
    50,539.08/69,745.62 = 27,570.16/x
  3. Step 3: Cross multiply
    50,539.08x = 69,745.62 × 27,570.16
  4. Step 4: Simplify right side
    50,539.08x = 1,922,897,902.70
  5. Step 5: Solve for x
    x = 1,922,897,902.70/50,539.08
  6. Step 6: Final answer
    x = 38,047.74

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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.