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Finding the Fourth Proportional to 50,883.66, 76,361.94 and 37,696.32

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Solution

The fourth proportional to 50,883.66, 76,361.94 and 37,696.32 is: 56,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,883.66 : 76,361.94 = 37,696.32 : x
  2. Step 2: Convert to fraction form
    50,883.66/76,361.94 = 37,696.32/x
  3. Step 3: Cross multiply
    50,883.66x = 76,361.94 × 37,696.32
  4. Step 4: Simplify right side
    50,883.66x = 2,878,564,126.06
  5. Step 5: Solve for x
    x = 2,878,564,126.06/50,883.66
  6. Step 6: Final answer
    x = 56,571.48

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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.