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Finding the Fourth Proportional to 39,821.64, 54,975.96 and 23,910

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Solution

The fourth proportional to 39,821.64, 54,975.96 and 23,910 is: 33,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821.64 : 54,975.96 = 23,910 : x
  2. Step 2: Convert to fraction form
    39,821.64/54,975.96 = 23,910/x
  3. Step 3: Cross multiply
    39,821.64x = 54,975.96 × 23,910
  4. Step 4: Simplify right side
    39,821.64x = 1,314,475,203.60
  5. Step 5: Solve for x
    x = 1,314,475,203.60/39,821.64
  6. Step 6: Final answer
    x = 33,009.07

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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.