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Finding the Fourth Proportional to 53,150, 73,347 and 29,276.60

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Solution

The fourth proportional to 53,150, 73,347 and 29,276.60 is: 40,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,150 : 73,347 = 29,276.60 : x
  2. Step 2: Convert to fraction form
    53,150/73,347 = 29,276.60/x
  3. Step 3: Cross multiply
    53,150x = 73,347 × 29,276.60
  4. Step 4: Simplify right side
    53,150x = 2,147,350,780.20
  5. Step 5: Solve for x
    x = 2,147,350,780.20/53,150
  6. Step 6: Final answer
    x = 40,401.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.