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Finding the Fourth Proportional to 38,643.50, 57,948.37 and 13,675.25

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Solution

The fourth proportional to 38,643.50, 57,948.37 and 13,675.25 is: 20,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.50 : 57,948.37 = 13,675.25 : x
  2. Step 2: Convert to fraction form
    38,643.50/57,948.37 = 13,675.25/x
  3. Step 3: Cross multiply
    38,643.50x = 57,948.37 × 13,675.25
  4. Step 4: Simplify right side
    38,643.50x = 792,458,446.84
  5. Step 5: Solve for x
    x = 792,458,446.84/38,643.50
  6. Step 6: Final answer
    x = 20,506.90

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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.