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Finding the Fourth Proportional to 53,422.50, 80,133.78 and 20,150.04

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Solution

The fourth proportional to 53,422.50, 80,133.78 and 20,150.04 is: 30,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.50 : 80,133.78 = 20,150.04 : x
  2. Step 2: Convert to fraction form
    53,422.50/80,133.78 = 20,150.04/x
  3. Step 3: Cross multiply
    53,422.50x = 80,133.78 × 20,150.04
  4. Step 4: Simplify right side
    53,422.50x = 1,614,698,872.35
  5. Step 5: Solve for x
    x = 1,614,698,872.35/53,422.50
  6. Step 6: Final answer
    x = 30,225.07

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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.