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Finding the Fourth Proportional to 100,565.52, 150,845.92 and 50,632.16

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Solution

The fourth proportional to 100,565.52, 150,845.92 and 50,632.16 is: 75,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.52 : 150,845.92 = 50,632.16 : x
  2. Step 2: Convert to fraction form
    100,565.52/150,845.92 = 50,632.16/x
  3. Step 3: Cross multiply
    100,565.52x = 150,845.92 × 50,632.16
  4. Step 4: Simplify right side
    100,565.52x = 7,637,654,756.79
  5. Step 5: Solve for x
    x = 7,637,654,756.79/100,565.52
  6. Step 6: Final answer
    x = 75,947.05

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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.