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Finding the Fourth Proportional to 71,601.54, 107,321.31 and 36,466.98

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Solution

The fourth proportional to 71,601.54, 107,321.31 and 36,466.98 is: 54,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,601.54 : 107,321.31 = 36,466.98 : x
  2. Step 2: Convert to fraction form
    71,601.54/107,321.31 = 36,466.98/x
  3. Step 3: Cross multiply
    71,601.54x = 107,321.31 × 36,466.98
  4. Step 4: Simplify right side
    71,601.54x = 3,913,684,065.34
  5. Step 5: Solve for x
    x = 3,913,684,065.34/71,601.54
  6. Step 6: Final answer
    x = 54,659.22

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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.