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Finding the Fourth Proportional to 53,436.88, 80,141.64 and 20,147.10

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Solution

The fourth proportional to 53,436.88, 80,141.64 and 20,147.10 is: 30,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,436.88 : 80,141.64 = 20,147.10 : x
  2. Step 2: Convert to fraction form
    53,436.88/80,141.64 = 20,147.10/x
  3. Step 3: Cross multiply
    53,436.88x = 80,141.64 × 20,147.10
  4. Step 4: Simplify right side
    53,436.88x = 1,614,621,635.24
  5. Step 5: Solve for x
    x = 1,614,621,635.24/53,436.88
  6. Step 6: Final answer
    x = 30,215.49

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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.