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Finding the Fourth Proportional to 77,907, 107,509.38 and 43,917.48

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Solution

The fourth proportional to 77,907, 107,509.38 and 43,917.48 is: 60,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907 : 107,509.38 = 43,917.48 : x
  2. Step 2: Convert to fraction form
    77,907/107,509.38 = 43,917.48/x
  3. Step 3: Cross multiply
    77,907x = 107,509.38 × 43,917.48
  4. Step 4: Simplify right side
    77,907x = 4,721,541,045.96
  5. Step 5: Solve for x
    x = 4,721,541,045.96/77,907
  6. Step 6: Final answer
    x = 60,604.84

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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.