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Finding the Fourth Proportional to 50,491.64, 69,678.74 and 29,283.48

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Solution

The fourth proportional to 50,491.64, 69,678.74 and 29,283.48 is: 40,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.64 : 69,678.74 = 29,283.48 : x
  2. Step 2: Convert to fraction form
    50,491.64/69,678.74 = 29,283.48/x
  3. Step 3: Cross multiply
    50,491.64x = 69,678.74 × 29,283.48
  4. Step 4: Simplify right side
    50,491.64x = 2,040,435,989.22
  5. Step 5: Solve for x
    x = 2,040,435,989.22/50,491.64
  6. Step 6: Final answer
    x = 40,411.36

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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.