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Finding the Fourth Proportional to 77,940.72, 107,486.46 and 51,073.47

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Solution

The fourth proportional to 77,940.72, 107,486.46 and 51,073.47 is: 70,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940.72 : 107,486.46 = 51,073.47 : x
  2. Step 2: Convert to fraction form
    77,940.72/107,486.46 = 51,073.47/x
  3. Step 3: Cross multiply
    77,940.72x = 107,486.46 × 51,073.47
  4. Step 4: Simplify right side
    77,940.72x = 5,489,706,490.22
  5. Step 5: Solve for x
    x = 5,489,706,490.22/77,940.72
  6. Step 6: Final answer
    x = 70,434.38

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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.