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Finding the Fourth Proportional to 77,746.70, 107,192.36 and 50,846.60

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Solution

The fourth proportional to 77,746.70, 107,192.36 and 50,846.60 is: 70,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,746.70 : 107,192.36 = 50,846.60 : x
  2. Step 2: Convert to fraction form
    77,746.70/107,192.36 = 50,846.60/x
  3. Step 3: Cross multiply
    77,746.70x = 107,192.36 × 50,846.60
  4. Step 4: Simplify right side
    77,746.70x = 5,450,367,447.07
  5. Step 5: Solve for x
    x = 5,450,367,447.07/77,746.70
  6. Step 6: Final answer
    x = 70,104.16

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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.