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Finding the Fourth Proportional to 39,782.39, 54,895.94 and 23,648.41

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Solution

The fourth proportional to 39,782.39, 54,895.94 and 23,648.41 is: 32,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.39 : 54,895.94 = 23,648.41 : x
  2. Step 2: Convert to fraction form
    39,782.39/54,895.94 = 23,648.41/x
  3. Step 3: Cross multiply
    39,782.39x = 54,895.94 × 23,648.41
  4. Step 4: Simplify right side
    39,782.39x = 1,298,201,696.46
  5. Step 5: Solve for x
    x = 1,298,201,696.46/39,782.39
  6. Step 6: Final answer
    x = 32,632.57

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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.