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Finding the Fourth Proportional to 39,941.76, 55,352.64 and 39,378

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Solution

The fourth proportional to 39,941.76, 55,352.64 and 39,378 is: 54,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,941.76 : 55,352.64 = 39,378 : x
  2. Step 2: Convert to fraction form
    39,941.76/55,352.64 = 39,378/x
  3. Step 3: Cross multiply
    39,941.76x = 55,352.64 × 39,378
  4. Step 4: Simplify right side
    39,941.76x = 2,179,676,110.25
  5. Step 5: Solve for x
    x = 2,179,676,110.25/39,941.76
  6. Step 6: Final answer
    x = 54,571.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.