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Finding the Fourth Proportional to 109,606.53, 164,311.11 and 39,436.50

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Solution

The fourth proportional to 109,606.53, 164,311.11 and 39,436.50 is: 59,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,606.53 : 164,311.11 = 39,436.50 : x
  2. Step 2: Convert to fraction form
    109,606.53/164,311.11 = 39,436.50/x
  3. Step 3: Cross multiply
    109,606.53x = 164,311.11 × 39,436.50
  4. Step 4: Simplify right side
    109,606.53x = 6,479,855,089.52
  5. Step 5: Solve for x
    x = 6,479,855,089.52/109,606.53
  6. Step 6: Final answer
    x = 59,119.24

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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.