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Finding the Fourth Proportional to 34,871.64, 48,122.73 and 19,767.21

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Solution

The fourth proportional to 34,871.64, 48,122.73 and 19,767.21 is: 27,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,871.64 : 48,122.73 = 19,767.21 : x
  2. Step 2: Convert to fraction form
    34,871.64/48,122.73 = 19,767.21/x
  3. Step 3: Cross multiply
    34,871.64x = 48,122.73 × 19,767.21
  4. Step 4: Simplify right side
    34,871.64x = 951,252,109.68
  5. Step 5: Solve for x
    x = 951,252,109.68/34,871.64
  6. Step 6: Final answer
    x = 27,278.67

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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.