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Finding the Fourth Proportional to 30,274.98, 45,414.74 and 8,087.86

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Solution

The fourth proportional to 30,274.98, 45,414.74 and 8,087.86 is: 12,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.98 : 45,414.74 = 8,087.86 : x
  2. Step 2: Convert to fraction form
    30,274.98/45,414.74 = 8,087.86/x
  3. Step 3: Cross multiply
    30,274.98x = 45,414.74 × 8,087.86
  4. Step 4: Simplify right side
    30,274.98x = 367,308,059.06
  5. Step 5: Solve for x
    x = 367,308,059.06/30,274.98
  6. Step 6: Final answer
    x = 12,132.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.