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Finding the Fourth Proportional to 36,493.20, 50,046.48 and 34,978.32

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Solution

The fourth proportional to 36,493.20, 50,046.48 and 34,978.32 is: 47,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.20 : 50,046.48 = 34,978.32 : x
  2. Step 2: Convert to fraction form
    36,493.20/50,046.48 = 34,978.32/x
  3. Step 3: Cross multiply
    36,493.20x = 50,046.48 × 34,978.32
  4. Step 4: Simplify right side
    36,493.20x = 1,750,541,792.31
  5. Step 5: Solve for x
    x = 1,750,541,792.31/36,493.20
  6. Step 6: Final answer
    x = 47,968.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.