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Finding the Fourth Proportional to 71,796.36, 107,694.60 and 32,307.36

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Solution

The fourth proportional to 71,796.36, 107,694.60 and 32,307.36 is: 48,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796.36 : 107,694.60 = 32,307.36 : x
  2. Step 2: Convert to fraction form
    71,796.36/107,694.60 = 32,307.36/x
  3. Step 3: Cross multiply
    71,796.36x = 107,694.60 × 32,307.36
  4. Step 4: Simplify right side
    71,796.36x = 3,479,328,212.26
  5. Step 5: Solve for x
    x = 3,479,328,212.26/71,796.36
  6. Step 6: Final answer
    x = 48,461.07

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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.