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Finding the Fourth Proportional to 59,189.50, 81,683.94 and 34,039

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Solution

The fourth proportional to 59,189.50, 81,683.94 and 34,039 is: 46,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,189.50 : 81,683.94 = 34,039 : x
  2. Step 2: Convert to fraction form
    59,189.50/81,683.94 = 34,039/x
  3. Step 3: Cross multiply
    59,189.50x = 81,683.94 × 34,039
  4. Step 4: Simplify right side
    59,189.50x = 2,780,439,633.66
  5. Step 5: Solve for x
    x = 2,780,439,633.66/59,189.50
  6. Step 6: Final answer
    x = 46,975.22

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