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Finding the Fourth Proportional to 50,838.63, 76,257.94 and 13,902.63

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Solution

The fourth proportional to 50,838.63, 76,257.94 and 13,902.63 is: 20,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,838.63 : 76,257.94 = 13,902.63 : x
  2. Step 2: Convert to fraction form
    50,838.63/76,257.94 = 13,902.63/x
  3. Step 3: Cross multiply
    50,838.63x = 76,257.94 × 13,902.63
  4. Step 4: Simplify right side
    50,838.63x = 1,060,185,924.38
  5. Step 5: Solve for x
    x = 1,060,185,924.38/50,838.63
  6. Step 6: Final answer
    x = 20,853.94

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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.