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Finding the Fourth Proportional to 39,684.36, 54,750.42 and 24,365.64

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Solution

The fourth proportional to 39,684.36, 54,750.42 and 24,365.64 is: 33,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684.36 : 54,750.42 = 24,365.64 : x
  2. Step 2: Convert to fraction form
    39,684.36/54,750.42 = 24,365.64/x
  3. Step 3: Cross multiply
    39,684.36x = 54,750.42 × 24,365.64
  4. Step 4: Simplify right side
    39,684.36x = 1,334,029,023.57
  5. Step 5: Solve for x
    x = 1,334,029,023.57/39,684.36
  6. Step 6: Final answer
    x = 33,615.99

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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.