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Finding the Fourth Proportional to 54,611.86, 75,364.50 and 30,738.88

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Solution

The fourth proportional to 54,611.86, 75,364.50 and 30,738.88 is: 42,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611.86 : 75,364.50 = 30,738.88 : x
  2. Step 2: Convert to fraction form
    54,611.86/75,364.50 = 30,738.88/x
  3. Step 3: Cross multiply
    54,611.86x = 75,364.50 × 30,738.88
  4. Step 4: Simplify right side
    54,611.86x = 2,316,620,321.76
  5. Step 5: Solve for x
    x = 2,316,620,321.76/54,611.86
  6. Step 6: Final answer
    x = 42,419.73

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