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Finding the Fourth Proportional to 30,023.59, 41,384.82 and 23,640.05

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Solution

The fourth proportional to 30,023.59, 41,384.82 and 23,640.05 is: 32,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023.59 : 41,384.82 = 23,640.05 : x
  2. Step 2: Convert to fraction form
    30,023.59/41,384.82 = 23,640.05/x
  3. Step 3: Cross multiply
    30,023.59x = 41,384.82 × 23,640.05
  4. Step 4: Simplify right side
    30,023.59x = 978,339,406.15
  5. Step 5: Solve for x
    x = 978,339,406.15/30,023.59
  6. Step 6: Final answer
    x = 32,585.69

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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.