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Finding the Fourth Proportional to 50,726, 76,123.56 and 17,894

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Solution

The fourth proportional to 50,726, 76,123.56 and 17,894 is: 26,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726 : 76,123.56 = 17,894 : x
  2. Step 2: Convert to fraction form
    50,726/76,123.56 = 17,894/x
  3. Step 3: Cross multiply
    50,726x = 76,123.56 × 17,894
  4. Step 4: Simplify right side
    50,726x = 1,362,154,982.64
  5. Step 5: Solve for x
    x = 1,362,154,982.64/50,726
  6. Step 6: Final answer
    x = 26,853.19

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