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Finding the Fourth Proportional to 39,645.36, 54,710.28 and 22,878

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Solution

The fourth proportional to 39,645.36, 54,710.28 and 22,878 is: 31,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,645.36 : 54,710.28 = 22,878 : x
  2. Step 2: Convert to fraction form
    39,645.36/54,710.28 = 22,878/x
  3. Step 3: Cross multiply
    39,645.36x = 54,710.28 × 22,878
  4. Step 4: Simplify right side
    39,645.36x = 1,251,661,785.84
  5. Step 5: Solve for x
    x = 1,251,661,785.84/39,645.36
  6. Step 6: Final answer
    x = 31,571.46

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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.