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Finding the Fourth Proportional to 49,117.44, 73,676.16 and 21,396

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Solution

The fourth proportional to 49,117.44, 73,676.16 and 21,396 is: 32,094

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.44 : 73,676.16 = 21,396 : x
  2. Step 2: Convert to fraction form
    49,117.44/73,676.16 = 21,396/x
  3. Step 3: Cross multiply
    49,117.44x = 73,676.16 × 21,396
  4. Step 4: Simplify right side
    49,117.44x = 1,576,375,119.36
  5. Step 5: Solve for x
    x = 1,576,375,119.36/49,117.44
  6. Step 6: Final answer
    x = 32,094

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.