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Finding the Fourth Proportional to 71,175.94, 106,727.64 and 23,774

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Solution

The fourth proportional to 71,175.94, 106,727.64 and 23,774 is: 35,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,175.94 : 106,727.64 = 23,774 : x
  2. Step 2: Convert to fraction form
    71,175.94/106,727.64 = 23,774/x
  3. Step 3: Cross multiply
    71,175.94x = 106,727.64 × 23,774
  4. Step 4: Simplify right side
    71,175.94x = 2,537,342,913.36
  5. Step 5: Solve for x
    x = 2,537,342,913.36/71,175.94
  6. Step 6: Final answer
    x = 35,648.89

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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.