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Finding the Fourth Proportional to 53,756.52, 80,630.46 and 33,977.40

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Solution

The fourth proportional to 53,756.52, 80,630.46 and 33,977.40 is: 50,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,756.52 : 80,630.46 = 33,977.40 : x
  2. Step 2: Convert to fraction form
    53,756.52/80,630.46 = 33,977.40/x
  3. Step 3: Cross multiply
    53,756.52x = 80,630.46 × 33,977.40
  4. Step 4: Simplify right side
    53,756.52x = 2,739,613,391.60
  5. Step 5: Solve for x
    x = 2,739,613,391.60/53,756.52
  6. Step 6: Final answer
    x = 50,963.37

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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.