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Finding the Fourth Proportional to 65,830.08, 90,843.84 and 38,973

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Solution

The fourth proportional to 65,830.08, 90,843.84 and 38,973 is: 53,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.08 : 90,843.84 = 38,973 : x
  2. Step 2: Convert to fraction form
    65,830.08/90,843.84 = 38,973/x
  3. Step 3: Cross multiply
    65,830.08x = 90,843.84 × 38,973
  4. Step 4: Simplify right side
    65,830.08x = 3,540,456,976.32
  5. Step 5: Solve for x
    x = 3,540,456,976.32/65,830.08
  6. Step 6: Final answer
    x = 53,781.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.