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Finding the Fourth Proportional to 37,409.23, 51,623.14 and 20,413.05

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Solution

The fourth proportional to 37,409.23, 51,623.14 and 20,413.05 is: 28,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.23 : 51,623.14 = 20,413.05 : x
  2. Step 2: Convert to fraction form
    37,409.23/51,623.14 = 20,413.05/x
  3. Step 3: Cross multiply
    37,409.23x = 51,623.14 × 20,413.05
  4. Step 4: Simplify right side
    37,409.23x = 1,053,785,909.79
  5. Step 5: Solve for x
    x = 1,053,785,909.79/37,409.23
  6. Step 6: Final answer
    x = 28,169.14

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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.