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Finding the Fourth Proportional to 53,417.50, 80,144.74 and 20,147.10

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Solution

The fourth proportional to 53,417.50, 80,144.74 and 20,147.10 is: 30,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.50 : 80,144.74 = 20,147.10 : x
  2. Step 2: Convert to fraction form
    53,417.50/80,144.74 = 20,147.10/x
  3. Step 3: Cross multiply
    53,417.50x = 80,144.74 × 20,147.10
  4. Step 4: Simplify right side
    53,417.50x = 1,614,684,091.25
  5. Step 5: Solve for x
    x = 1,614,684,091.25/53,417.50
  6. Step 6: Final answer
    x = 30,227.62

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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.