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Finding the Fourth Proportional to 49,511.50, 68,326.14 and 29,378.50

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Solution

The fourth proportional to 49,511.50, 68,326.14 and 29,378.50 is: 40,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511.50 : 68,326.14 = 29,378.50 : x
  2. Step 2: Convert to fraction form
    49,511.50/68,326.14 = 29,378.50/x
  3. Step 3: Cross multiply
    49,511.50x = 68,326.14 × 29,378.50
  4. Step 4: Simplify right side
    49,511.50x = 2,007,319,503.99
  5. Step 5: Solve for x
    x = 2,007,319,503.99/49,511.50
  6. Step 6: Final answer
    x = 40,542.49

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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.