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Finding the Fourth Proportional to 39,414.88, 54,392.34 and 21,509.74

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Solution

The fourth proportional to 39,414.88, 54,392.34 and 21,509.74 is: 29,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.88 : 54,392.34 = 21,509.74 : x
  2. Step 2: Convert to fraction form
    39,414.88/54,392.34 = 21,509.74/x
  3. Step 3: Cross multiply
    39,414.88x = 54,392.34 × 21,509.74
  4. Step 4: Simplify right side
    39,414.88x = 1,169,965,091.39
  5. Step 5: Solve for x
    x = 1,169,965,091.39/39,414.88
  6. Step 6: Final answer
    x = 29,683.34

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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.