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Finding the Fourth Proportional to 75,796.50, 104,597.75 and 41,808.16

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Solution

The fourth proportional to 75,796.50, 104,597.75 and 41,808.16 is: 57,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796.50 : 104,597.75 = 41,808.16 : x
  2. Step 2: Convert to fraction form
    75,796.50/104,597.75 = 41,808.16/x
  3. Step 3: Cross multiply
    75,796.50x = 104,597.75 × 41,808.16
  4. Step 4: Simplify right side
    75,796.50x = 4,373,039,310.67
  5. Step 5: Solve for x
    x = 4,373,039,310.67/75,796.50
  6. Step 6: Final answer
    x = 57,694.48

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1.5x scale

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.