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Finding the Fourth Proportional to 34,626.16, 47,767.20 and 21,873.20

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Solution

The fourth proportional to 34,626.16, 47,767.20 and 21,873.20 is: 30,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,626.16 : 47,767.20 = 21,873.20 : x
  2. Step 2: Convert to fraction form
    34,626.16/47,767.20 = 21,873.20/x
  3. Step 3: Cross multiply
    34,626.16x = 47,767.20 × 21,873.20
  4. Step 4: Simplify right side
    34,626.16x = 1,044,821,519.04
  5. Step 5: Solve for x
    x = 1,044,821,519.04/34,626.16
  6. Step 6: Final answer
    x = 30,174.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.