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Finding the Fourth Proportional to 39,543.75, 54,570.31 and 21,638.75

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Solution

The fourth proportional to 39,543.75, 54,570.31 and 21,638.75 is: 29,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,543.75 : 54,570.31 = 21,638.75 : x
  2. Step 2: Convert to fraction form
    39,543.75/54,570.31 = 21,638.75/x
  3. Step 3: Cross multiply
    39,543.75x = 54,570.31 × 21,638.75
  4. Step 4: Simplify right side
    39,543.75x = 1,180,833,295.51
  5. Step 5: Solve for x
    x = 1,180,833,295.51/39,543.75
  6. Step 6: Final answer
    x = 29,861.44

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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.