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Finding the Fourth Proportional to 24,578.94, 36,868.44 and 7,048.86

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Solution

The fourth proportional to 24,578.94, 36,868.44 and 7,048.86 is: 10,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.94 : 36,868.44 = 7,048.86 : x
  2. Step 2: Convert to fraction form
    24,578.94/36,868.44 = 7,048.86/x
  3. Step 3: Cross multiply
    24,578.94x = 36,868.44 × 7,048.86
  4. Step 4: Simplify right side
    24,578.94x = 259,880,471.98
  5. Step 5: Solve for x
    x = 259,880,471.98/24,578.94
  6. Step 6: Final answer
    x = 10,573.30

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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.