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Finding the Fourth Proportional to 60,296, 83,208.48 and 33,442.62

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Solution

The fourth proportional to 60,296, 83,208.48 and 33,442.62 is: 46,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,296 : 83,208.48 = 33,442.62 : x
  2. Step 2: Convert to fraction form
    60,296/83,208.48 = 33,442.62/x
  3. Step 3: Cross multiply
    60,296x = 83,208.48 × 33,442.62
  4. Step 4: Simplify right side
    60,296x = 2,782,709,577.42
  5. Step 5: Solve for x
    x = 2,782,709,577.42/60,296
  6. Step 6: Final answer
    x = 46,150.82

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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.