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Finding the Fourth Proportional to 65,835, 90,852.48 and 36,027

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Solution

The fourth proportional to 65,835, 90,852.48 and 36,027 is: 49,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,835 : 90,852.48 = 36,027 : x
  2. Step 2: Convert to fraction form
    65,835/90,852.48 = 36,027/x
  3. Step 3: Cross multiply
    65,835x = 90,852.48 × 36,027
  4. Step 4: Simplify right side
    65,835x = 3,273,142,296.96
  5. Step 5: Solve for x
    x = 3,273,142,296.96/65,835
  6. Step 6: Final answer
    x = 49,717.36

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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.