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Finding the Fourth Proportional to 35,524.84, 49,024 and 19,609.29

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Solution

The fourth proportional to 35,524.84, 49,024 and 19,609.29 is: 27,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524.84 : 49,024 = 19,609.29 : x
  2. Step 2: Convert to fraction form
    35,524.84/49,024 = 19,609.29/x
  3. Step 3: Cross multiply
    35,524.84x = 49,024 × 19,609.29
  4. Step 4: Simplify right side
    35,524.84x = 961,325,832.96
  5. Step 5: Solve for x
    x = 961,325,832.96/35,524.84
  6. Step 6: Final answer
    x = 27,060.67

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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.