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Finding the Fourth Proportional to 50,754.56, 70,043.16 and 27,785.99

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Solution

The fourth proportional to 50,754.56, 70,043.16 and 27,785.99 is: 38,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754.56 : 70,043.16 = 27,785.99 : x
  2. Step 2: Convert to fraction form
    50,754.56/70,043.16 = 27,785.99/x
  3. Step 3: Cross multiply
    50,754.56x = 70,043.16 × 27,785.99
  4. Step 4: Simplify right side
    50,754.56x = 1,946,218,193.11
  5. Step 5: Solve for x
    x = 1,946,218,193.11/50,754.56
  6. Step 6: Final answer
    x = 38,345.69

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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.