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Finding the Fourth Proportional to 30,683.48, 42,464.94 and 29,947.46

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Solution

The fourth proportional to 30,683.48, 42,464.94 and 29,947.46 is: 41,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.48 : 42,464.94 = 29,947.46 : x
  2. Step 2: Convert to fraction form
    30,683.48/42,464.94 = 29,947.46/x
  3. Step 3: Cross multiply
    30,683.48x = 42,464.94 × 29,947.46
  4. Step 4: Simplify right side
    30,683.48x = 1,271,717,092.05
  5. Step 5: Solve for x
    x = 1,271,717,092.05/30,683.48
  6. Step 6: Final answer
    x = 41,446.31

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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.