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Finding the Fourth Proportional to 50,731, 76,096.74 and 17,899

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Solution

The fourth proportional to 50,731, 76,096.74 and 17,899 is: 26,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,731 : 76,096.74 = 17,899 : x
  2. Step 2: Convert to fraction form
    50,731/76,096.74 = 17,899/x
  3. Step 3: Cross multiply
    50,731x = 76,096.74 × 17,899
  4. Step 4: Simplify right side
    50,731x = 1,362,055,549.26
  5. Step 5: Solve for x
    x = 1,362,055,549.26/50,731
  6. Step 6: Final answer
    x = 26,848.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.