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Finding the Fourth Proportional to 70,100.75, 96,734.51 and 38,269.64

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Solution

The fourth proportional to 70,100.75, 96,734.51 and 38,269.64 is: 52,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100.75 : 96,734.51 = 38,269.64 : x
  2. Step 2: Convert to fraction form
    70,100.75/96,734.51 = 38,269.64/x
  3. Step 3: Cross multiply
    70,100.75x = 96,734.51 × 38,269.64
  4. Step 4: Simplify right side
    70,100.75x = 3,701,994,873.28
  5. Step 5: Solve for x
    x = 3,701,994,873.28/70,100.75
  6. Step 6: Final answer
    x = 52,809.63

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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.