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Finding the Fourth Proportional to 94,993, 142,489.50 and 39,589

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Solution

The fourth proportional to 94,993, 142,489.50 and 39,589 is: 59,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,993 : 142,489.50 = 39,589 : x
  2. Step 2: Convert to fraction form
    94,993/142,489.50 = 39,589/x
  3. Step 3: Cross multiply
    94,993x = 142,489.50 × 39,589
  4. Step 4: Simplify right side
    94,993x = 5,641,016,815.50
  5. Step 5: Solve for x
    x = 5,641,016,815.50/94,993
  6. Step 6: Final answer
    x = 59,383.50

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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.