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Finding the Fourth Proportional to 75,729.68, 104,502.70 and 41,738.06

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Solution

The fourth proportional to 75,729.68, 104,502.70 and 41,738.06 is: 57,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,729.68 : 104,502.70 = 41,738.06 : x
  2. Step 2: Convert to fraction form
    75,729.68/104,502.70 = 41,738.06/x
  3. Step 3: Cross multiply
    75,729.68x = 104,502.70 × 41,738.06
  4. Step 4: Simplify right side
    75,729.68x = 4,361,740,145.96
  5. Step 5: Solve for x
    x = 4,361,740,145.96/75,729.68
  6. Step 6: Final answer
    x = 57,596.18

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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.