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Finding the Fourth Proportional to 30,591.93, 45,887.85 and 8,405.40

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Solution

The fourth proportional to 30,591.93, 45,887.85 and 8,405.40 is: 12,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.93 : 45,887.85 = 8,405.40 : x
  2. Step 2: Convert to fraction form
    30,591.93/45,887.85 = 8,405.40/x
  3. Step 3: Cross multiply
    30,591.93x = 45,887.85 × 8,405.40
  4. Step 4: Simplify right side
    30,591.93x = 385,705,734.39
  5. Step 5: Solve for x
    x = 385,705,734.39/30,591.93
  6. Step 6: Final answer
    x = 12,608.09

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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.