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Finding the Fourth Proportional to 50,443.84, 75,680.34 and 20,856.16

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Solution

The fourth proportional to 50,443.84, 75,680.34 and 20,856.16 is: 31,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.84 : 75,680.34 = 20,856.16 : x
  2. Step 2: Convert to fraction form
    50,443.84/75,680.34 = 20,856.16/x
  3. Step 3: Cross multiply
    50,443.84x = 75,680.34 × 20,856.16
  4. Step 4: Simplify right side
    50,443.84x = 1,578,401,279.89
  5. Step 5: Solve for x
    x = 1,578,401,279.89/50,443.84
  6. Step 6: Final answer
    x = 31,290.27

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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.