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Finding the Fourth Proportional to 100,565.86, 150,846.45 and 50,632.55

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Solution

The fourth proportional to 100,565.86, 150,846.45 and 50,632.55 is: 75,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.86 : 150,846.45 = 50,632.55 : x
  2. Step 2: Convert to fraction form
    100,565.86/150,846.45 = 50,632.55/x
  3. Step 3: Cross multiply
    100,565.86x = 150,846.45 × 50,632.55
  4. Step 4: Simplify right side
    100,565.86x = 7,637,740,328.33
  5. Step 5: Solve for x
    x = 7,637,740,328.33/100,565.86
  6. Step 6: Final answer
    x = 75,947.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.