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Finding the Fourth Proportional to 34,782.64, 47,997.12 and 19,674.52

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Solution

The fourth proportional to 34,782.64, 47,997.12 and 19,674.52 is: 27,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.64 : 47,997.12 = 19,674.52 : x
  2. Step 2: Convert to fraction form
    34,782.64/47,997.12 = 19,674.52/x
  3. Step 3: Cross multiply
    34,782.64x = 47,997.12 × 19,674.52
  4. Step 4: Simplify right side
    34,782.64x = 944,320,297.38
  5. Step 5: Solve for x
    x = 944,320,297.38/34,782.64
  6. Step 6: Final answer
    x = 27,149.18

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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.