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Finding the Fourth Proportional to 36,509.86, 50,384.25 and 21,413.41

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Solution

The fourth proportional to 36,509.86, 50,384.25 and 21,413.41 is: 29,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.86 : 50,384.25 = 21,413.41 : x
  2. Step 2: Convert to fraction form
    36,509.86/50,384.25 = 21,413.41/x
  3. Step 3: Cross multiply
    36,509.86x = 50,384.25 × 21,413.41
  4. Step 4: Simplify right side
    36,509.86x = 1,078,898,476.83
  5. Step 5: Solve for x
    x = 1,078,898,476.83/36,509.86
  6. Step 6: Final answer
    x = 29,550.88

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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.