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Finding the Fourth Proportional to 51,467.32, 77,201.00 and 33,809.57

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Solution

The fourth proportional to 51,467.32, 77,201.00 and 33,809.57 is: 50,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,467.32 : 77,201.00 = 33,809.57 : x
  2. Step 2: Convert to fraction form
    51,467.32/77,201.00 = 33,809.57/x
  3. Step 3: Cross multiply
    51,467.32x = 77,201.00 × 33,809.57
  4. Step 4: Simplify right side
    51,467.32x = 2,610,132,474.81
  5. Step 5: Solve for x
    x = 2,610,132,474.81/51,467.32
  6. Step 6: Final answer
    x = 50,714.37

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