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Finding the Fourth Proportional to 50,298.48, 69,413.40 and 27,942

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Solution

The fourth proportional to 50,298.48, 69,413.40 and 27,942 is: 38,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298.48 : 69,413.40 = 27,942 : x
  2. Step 2: Convert to fraction form
    50,298.48/69,413.40 = 27,942/x
  3. Step 3: Cross multiply
    50,298.48x = 69,413.40 × 27,942
  4. Step 4: Simplify right side
    50,298.48x = 1,939,549,222.80
  5. Step 5: Solve for x
    x = 1,939,549,222.80/50,298.48
  6. Step 6: Final answer
    x = 38,560.79

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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.