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Finding the Fourth Proportional to 48,891.78, 73,340.51 and 13,828.50

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Solution

The fourth proportional to 48,891.78, 73,340.51 and 13,828.50 is: 20,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,891.78 : 73,340.51 = 13,828.50 : x
  2. Step 2: Convert to fraction form
    48,891.78/73,340.51 = 13,828.50/x
  3. Step 3: Cross multiply
    48,891.78x = 73,340.51 × 13,828.50
  4. Step 4: Simplify right side
    48,891.78x = 1,014,189,173.39
  5. Step 5: Solve for x
    x = 1,014,189,173.39/48,891.78
  6. Step 6: Final answer
    x = 20,743.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.