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Finding the Fourth Proportional to 71,614.86, 98,874.06 and 48,991.56

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Solution

The fourth proportional to 71,614.86, 98,874.06 and 48,991.56 is: 67,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.86 : 98,874.06 = 48,991.56 : x
  2. Step 2: Convert to fraction form
    71,614.86/98,874.06 = 48,991.56/x
  3. Step 3: Cross multiply
    71,614.86x = 98,874.06 × 48,991.56
  4. Step 4: Simplify right side
    71,614.86x = 4,843,994,442.93
  5. Step 5: Solve for x
    x = 4,843,994,442.93/71,614.86
  6. Step 6: Final answer
    x = 67,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.