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Finding the Fourth Proportional to 37,409.80, 51,623.91 and 20,413.62

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Solution

The fourth proportional to 37,409.80, 51,623.91 and 20,413.62 is: 28,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.80 : 51,623.91 = 20,413.62 : x
  2. Step 2: Convert to fraction form
    37,409.80/51,623.91 = 20,413.62/x
  3. Step 3: Cross multiply
    37,409.80x = 51,623.91 × 20,413.62
  4. Step 4: Simplify right side
    37,409.80x = 1,053,830,881.65
  5. Step 5: Solve for x
    x = 1,053,830,881.65/37,409.80
  6. Step 6: Final answer
    x = 28,169.92

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1.5x scale

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.