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Finding the Fourth Proportional to 37,264, 51,424.32 and 22,364.80

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Solution

The fourth proportional to 37,264, 51,424.32 and 22,364.80 is: 30,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 51,424.32 = 22,364.80 : x
  2. Step 2: Convert to fraction form
    37,264/51,424.32 = 22,364.80/x
  3. Step 3: Cross multiply
    37,264x = 51,424.32 × 22,364.80
  4. Step 4: Simplify right side
    37,264x = 1,150,094,631.94
  5. Step 5: Solve for x
    x = 1,150,094,631.94/37,264
  6. Step 6: Final answer
    x = 30,863.42

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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.