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Finding the Fourth Proportional to 30,811.56, 45,994.47 and 27,074.88

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Solution

The fourth proportional to 30,811.56, 45,994.47 and 27,074.88 is: 40,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.56 : 45,994.47 = 27,074.88 : x
  2. Step 2: Convert to fraction form
    30,811.56/45,994.47 = 27,074.88/x
  3. Step 3: Cross multiply
    30,811.56x = 45,994.47 × 27,074.88
  4. Step 4: Simplify right side
    30,811.56x = 1,245,294,755.91
  5. Step 5: Solve for x
    x = 1,245,294,755.91/30,811.56
  6. Step 6: Final answer
    x = 40,416.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.