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Finding the Fourth Proportional to 24,696.25, 37,047.63 and 8,050.45

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Solution

The fourth proportional to 24,696.25, 37,047.63 and 8,050.45 is: 12,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.25 : 37,047.63 = 8,050.45 : x
  2. Step 2: Convert to fraction form
    24,696.25/37,047.63 = 8,050.45/x
  3. Step 3: Cross multiply
    24,696.25x = 37,047.63 × 8,050.45
  4. Step 4: Simplify right side
    24,696.25x = 298,250,092.93
  5. Step 5: Solve for x
    x = 298,250,092.93/24,696.25
  6. Step 6: Final answer
    x = 12,076.74

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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.