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Finding the Fourth Proportional to 50,076.63, 69,106.57 and 27,415.24

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Solution

The fourth proportional to 50,076.63, 69,106.57 and 27,415.24 is: 37,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076.63 : 69,106.57 = 27,415.24 : x
  2. Step 2: Convert to fraction form
    50,076.63/69,106.57 = 27,415.24/x
  3. Step 3: Cross multiply
    50,076.63x = 69,106.57 × 27,415.24
  4. Step 4: Simplify right side
    50,076.63x = 1,894,573,349.55
  5. Step 5: Solve for x
    x = 1,894,573,349.55/50,076.63
  6. Step 6: Final answer
    x = 37,833.48

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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.