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Finding the Fourth Proportional to 65,879.88, 90,913.50 and 35,664.48

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Solution

The fourth proportional to 65,879.88, 90,913.50 and 35,664.48 is: 49,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,879.88 : 90,913.50 = 35,664.48 : x
  2. Step 2: Convert to fraction form
    65,879.88/90,913.50 = 35,664.48/x
  3. Step 3: Cross multiply
    65,879.88x = 90,913.50 × 35,664.48
  4. Step 4: Simplify right side
    65,879.88x = 3,242,382,702.48
  5. Step 5: Solve for x
    x = 3,242,382,702.48/65,879.88
  6. Step 6: Final answer
    x = 49,216.58

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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.