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Finding the Fourth Proportional to 49,000.95, 67,619.41 and 27,780.98

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Solution

The fourth proportional to 49,000.95, 67,619.41 and 27,780.98 is: 38,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000.95 : 67,619.41 = 27,780.98 : x
  2. Step 2: Convert to fraction form
    49,000.95/67,619.41 = 27,780.98/x
  3. Step 3: Cross multiply
    49,000.95x = 67,619.41 × 27,780.98
  4. Step 4: Simplify right side
    49,000.95x = 1,878,533,069.27
  5. Step 5: Solve for x
    x = 1,878,533,069.27/49,000.95
  6. Step 6: Final answer
    x = 38,336.67

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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.