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Finding the Fourth Proportional to 30,584.68, 45,902.94 and 12,129.64

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Solution

The fourth proportional to 30,584.68, 45,902.94 and 12,129.64 is: 18,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.68 : 45,902.94 = 12,129.64 : x
  2. Step 2: Convert to fraction form
    30,584.68/45,902.94 = 12,129.64/x
  3. Step 3: Cross multiply
    30,584.68x = 45,902.94 × 12,129.64
  4. Step 4: Simplify right side
    30,584.68x = 556,786,137.14
  5. Step 5: Solve for x
    x = 556,786,137.14/30,584.68
  6. Step 6: Final answer
    x = 18,204.74

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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.