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Finding the Fourth Proportional to 30,413.64, 41,959.26 and 22,474.92

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Solution

The fourth proportional to 30,413.64, 41,959.26 and 22,474.92 is: 31,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.64 : 41,959.26 = 22,474.92 : x
  2. Step 2: Convert to fraction form
    30,413.64/41,959.26 = 22,474.92/x
  3. Step 3: Cross multiply
    30,413.64x = 41,959.26 × 22,474.92
  4. Step 4: Simplify right side
    30,413.64x = 943,031,011.76
  5. Step 5: Solve for x
    x = 943,031,011.76/30,413.64
  6. Step 6: Final answer
    x = 31,006.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.