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Finding the Fourth Proportional to 36,852.84, 50,856.93 and 20,085.84

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Solution

The fourth proportional to 36,852.84, 50,856.93 and 20,085.84 is: 27,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852.84 : 50,856.93 = 20,085.84 : x
  2. Step 2: Convert to fraction form
    36,852.84/50,856.93 = 20,085.84/x
  3. Step 3: Cross multiply
    36,852.84x = 50,856.93 × 20,085.84
  4. Step 4: Simplify right side
    36,852.84x = 1,021,504,158.87
  5. Step 5: Solve for x
    x = 1,021,504,158.87/36,852.84
  6. Step 6: Final answer
    x = 27,718.47

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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.