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Finding the Fourth Proportional to 77,467.59, 106,906.23 and 43,483.41

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Solution

The fourth proportional to 77,467.59, 106,906.23 and 43,483.41 is: 60,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,467.59 : 106,906.23 = 43,483.41 : x
  2. Step 2: Convert to fraction form
    77,467.59/106,906.23 = 43,483.41/x
  3. Step 3: Cross multiply
    77,467.59x = 106,906.23 × 43,483.41
  4. Step 4: Simplify right side
    77,467.59x = 4,648,647,430.64
  5. Step 5: Solve for x
    x = 4,648,647,430.64/77,467.59
  6. Step 6: Final answer
    x = 60,007.64

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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.