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Finding the Fourth Proportional to 34,576.98, 47,722.06 and 20,039

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Solution

The fourth proportional to 34,576.98, 47,722.06 and 20,039 is: 27,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576.98 : 47,722.06 = 20,039 : x
  2. Step 2: Convert to fraction form
    34,576.98/47,722.06 = 20,039/x
  3. Step 3: Cross multiply
    34,576.98x = 47,722.06 × 20,039
  4. Step 4: Simplify right side
    34,576.98x = 956,302,360.34
  5. Step 5: Solve for x
    x = 956,302,360.34/34,576.98
  6. Step 6: Final answer
    x = 27,657.20

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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.