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Finding the Fourth Proportional to 39,107.54, 58,647 and 14,141.60

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Solution

The fourth proportional to 39,107.54, 58,647 and 14,141.60 is: 21,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,107.54 : 58,647 = 14,141.60 : x
  2. Step 2: Convert to fraction form
    39,107.54/58,647 = 14,141.60/x
  3. Step 3: Cross multiply
    39,107.54x = 58,647 × 14,141.60
  4. Step 4: Simplify right side
    39,107.54x = 829,362,415.20
  5. Step 5: Solve for x
    x = 829,362,415.20/39,107.54
  6. Step 6: Final answer
    x = 21,207.23

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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.