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Finding the Fourth Proportional to 48,608.54, 72,830.73 and 29,849.48

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Solution

The fourth proportional to 48,608.54, 72,830.73 and 29,849.48 is: 44,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,608.54 : 72,830.73 = 29,849.48 : x
  2. Step 2: Convert to fraction form
    48,608.54/72,830.73 = 29,849.48/x
  3. Step 3: Cross multiply
    48,608.54x = 72,830.73 × 29,849.48
  4. Step 4: Simplify right side
    48,608.54x = 2,173,959,418.52
  5. Step 5: Solve for x
    x = 2,173,959,418.52/48,608.54
  6. Step 6: Final answer
    x = 44,723.82

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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.