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Finding the Fourth Proportional to 77,997.56, 107,636.52 and 44,006

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Solution

The fourth proportional to 77,997.56, 107,636.52 and 44,006 is: 60,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997.56 : 107,636.52 = 44,006 : x
  2. Step 2: Convert to fraction form
    77,997.56/107,636.52 = 44,006/x
  3. Step 3: Cross multiply
    77,997.56x = 107,636.52 × 44,006
  4. Step 4: Simplify right side
    77,997.56x = 4,736,652,699.12
  5. Step 5: Solve for x
    x = 4,736,652,699.12/77,997.56
  6. Step 6: Final answer
    x = 60,728.22

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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.