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Finding the Fourth Proportional to 48,847.76, 73,279.92 and 19,250

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Solution

The fourth proportional to 48,847.76, 73,279.92 and 19,250 is: 28,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,847.76 : 73,279.92 = 19,250 : x
  2. Step 2: Convert to fraction form
    48,847.76/73,279.92 = 19,250/x
  3. Step 3: Cross multiply
    48,847.76x = 73,279.92 × 19,250
  4. Step 4: Simplify right side
    48,847.76x = 1,410,638,460
  5. Step 5: Solve for x
    x = 1,410,638,460/48,847.76
  6. Step 6: Final answer
    x = 28,878.26

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Why These Related Problems?

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