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Finding the Fourth Proportional to 84,978.75, 117,273.54 and 46,739.91

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Solution

The fourth proportional to 84,978.75, 117,273.54 and 46,739.91 is: 64,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,978.75 : 117,273.54 = 46,739.91 : x
  2. Step 2: Convert to fraction form
    84,978.75/117,273.54 = 46,739.91/x
  3. Step 3: Cross multiply
    84,978.75x = 117,273.54 × 46,739.91
  4. Step 4: Simplify right side
    84,978.75x = 5,481,354,704.98
  5. Step 5: Solve for x
    x = 5,481,354,704.98/84,978.75
  6. Step 6: Final answer
    x = 64,502.65

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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.