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Finding the Fourth Proportional to 50,755.70, 70,041.75 and 27,785.46

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Solution

The fourth proportional to 50,755.70, 70,041.75 and 27,785.46 is: 38,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,755.70 : 70,041.75 = 27,785.46 : x
  2. Step 2: Convert to fraction form
    50,755.70/70,041.75 = 27,785.46/x
  3. Step 3: Cross multiply
    50,755.70x = 70,041.75 × 27,785.46
  4. Step 4: Simplify right side
    50,755.70x = 1,946,142,242.96
  5. Step 5: Solve for x
    x = 1,946,142,242.96/50,755.70
  6. Step 6: Final answer
    x = 38,343.33

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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.