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Finding the Fourth Proportional to 57,978.54, 80,171.44 and 46,021.12

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Solution

The fourth proportional to 57,978.54, 80,171.44 and 46,021.12 is: 63,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.54 : 80,171.44 = 46,021.12 : x
  2. Step 2: Convert to fraction form
    57,978.54/80,171.44 = 46,021.12/x
  3. Step 3: Cross multiply
    57,978.54x = 80,171.44 × 46,021.12
  4. Step 4: Simplify right side
    57,978.54x = 3,689,579,145.33
  5. Step 5: Solve for x
    x = 3,689,579,145.33/57,978.54
  6. Step 6: Final answer
    x = 63,636.98

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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.