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Finding the Fourth Proportional to 49,464.27, 74,195.73 and 12,024.24

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Solution

The fourth proportional to 49,464.27, 74,195.73 and 12,024.24 is: 18,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464.27 : 74,195.73 = 12,024.24 : x
  2. Step 2: Convert to fraction form
    49,464.27/74,195.73 = 12,024.24/x
  3. Step 3: Cross multiply
    49,464.27x = 74,195.73 × 12,024.24
  4. Step 4: Simplify right side
    49,464.27x = 892,147,264.50
  5. Step 5: Solve for x
    x = 892,147,264.50/49,464.27
  6. Step 6: Final answer
    x = 18,036.20

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Why These Related Problems?

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