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Finding the Fourth Proportional to 32,912.63, 49,375.10 and 13,192.74

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Solution

The fourth proportional to 32,912.63, 49,375.10 and 13,192.74 is: 19,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.63 : 49,375.10 = 13,192.74 : x
  2. Step 2: Convert to fraction form
    32,912.63/49,375.10 = 13,192.74/x
  3. Step 3: Cross multiply
    32,912.63x = 49,375.10 × 13,192.74
  4. Step 4: Simplify right side
    32,912.63x = 651,392,889.76
  5. Step 5: Solve for x
    x = 651,392,889.76/32,912.63
  6. Step 6: Final answer
    x = 19,791.58

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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.