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Finding the Fourth Proportional to 50,298.49, 69,413.44 and 27,638.17

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Solution

The fourth proportional to 50,298.49, 69,413.44 and 27,638.17 is: 38,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298.49 : 69,413.44 = 27,638.17 : x
  2. Step 2: Convert to fraction form
    50,298.49/69,413.44 = 27,638.17/x
  3. Step 3: Cross multiply
    50,298.49x = 69,413.44 × 27,638.17
  4. Step 4: Simplify right side
    50,298.49x = 1,918,460,868.86
  5. Step 5: Solve for x
    x = 1,918,460,868.86/50,298.49
  6. Step 6: Final answer
    x = 38,141.52

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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.