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Finding the Fourth Proportional to 39,114.87, 53,970.21 and 23,204.49

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Solution

The fourth proportional to 39,114.87, 53,970.21 and 23,204.49 is: 32,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114.87 : 53,970.21 = 23,204.49 : x
  2. Step 2: Convert to fraction form
    39,114.87/53,970.21 = 23,204.49/x
  3. Step 3: Cross multiply
    39,114.87x = 53,970.21 × 23,204.49
  4. Step 4: Simplify right side
    39,114.87x = 1,252,351,198.24
  5. Step 5: Solve for x
    x = 1,252,351,198.24/39,114.87
  6. Step 6: Final answer
    x = 32,017.27

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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.