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Finding the Fourth Proportional to 50,413.39, 69,572.12 and 27,754.70

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Solution

The fourth proportional to 50,413.39, 69,572.12 and 27,754.70 is: 38,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.39 : 69,572.12 = 27,754.70 : x
  2. Step 2: Convert to fraction form
    50,413.39/69,572.12 = 27,754.70/x
  3. Step 3: Cross multiply
    50,413.39x = 69,572.12 × 27,754.70
  4. Step 4: Simplify right side
    50,413.39x = 1,930,953,223.67
  5. Step 5: Solve for x
    x = 1,930,953,223.67/50,413.39
  6. Step 6: Final answer
    x = 38,302.39

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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.