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Finding the Fourth Proportional to 55,706.94, 76,846.96 and 36,583.95

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Solution

The fourth proportional to 55,706.94, 76,846.96 and 36,583.95 is: 50,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.94 : 76,846.96 = 36,583.95 : x
  2. Step 2: Convert to fraction form
    55,706.94/76,846.96 = 36,583.95/x
  3. Step 3: Cross multiply
    55,706.94x = 76,846.96 × 36,583.95
  4. Step 4: Simplify right side
    55,706.94x = 2,811,365,676.20
  5. Step 5: Solve for x
    x = 2,811,365,676.20/55,706.94
  6. Step 6: Final answer
    x = 50,467.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.