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Finding the Fourth Proportional to 48,201.86, 72,323.48 and 18,640.44

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Solution

The fourth proportional to 48,201.86, 72,323.48 and 18,640.44 is: 27,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.86 : 72,323.48 = 18,640.44 : x
  2. Step 2: Convert to fraction form
    48,201.86/72,323.48 = 18,640.44/x
  3. Step 3: Cross multiply
    48,201.86x = 72,323.48 × 18,640.44
  4. Step 4: Simplify right side
    48,201.86x = 1,348,141,536.13
  5. Step 5: Solve for x
    x = 1,348,141,536.13/48,201.86
  6. Step 6: Final answer
    x = 27,968.66

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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.