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Finding the Fourth Proportional to 32,676.70, 49,031.27 and 12,954.82

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Solution

The fourth proportional to 32,676.70, 49,031.27 and 12,954.82 is: 19,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.70 : 49,031.27 = 12,954.82 : x
  2. Step 2: Convert to fraction form
    32,676.70/49,031.27 = 12,954.82/x
  3. Step 3: Cross multiply
    32,676.70x = 49,031.27 × 12,954.82
  4. Step 4: Simplify right side
    32,676.70x = 635,191,277.22
  5. Step 5: Solve for x
    x = 635,191,277.22/32,676.70
  6. Step 6: Final answer
    x = 19,438.66

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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.