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Finding the Fourth Proportional to 109,687.12, 164,530.67 and 39,566.43

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Solution

The fourth proportional to 109,687.12, 164,530.67 and 39,566.43 is: 59,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687.12 : 164,530.67 = 39,566.43 : x
  2. Step 2: Convert to fraction form
    109,687.12/164,530.67 = 39,566.43/x
  3. Step 3: Cross multiply
    109,687.12x = 164,530.67 × 39,566.43
  4. Step 4: Simplify right side
    109,687.12x = 6,509,891,237.41
  5. Step 5: Solve for x
    x = 6,509,891,237.41/109,687.12
  6. Step 6: Final answer
    x = 59,349.64

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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.