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Finding the Fourth Proportional to 71,175.84, 106,776.75 and 23,786.43

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Solution

The fourth proportional to 71,175.84, 106,776.75 and 23,786.43 is: 35,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,175.84 : 106,776.75 = 23,786.43 : x
  2. Step 2: Convert to fraction form
    71,175.84/106,776.75 = 23,786.43/x
  3. Step 3: Cross multiply
    71,175.84x = 106,776.75 × 23,786.43
  4. Step 4: Simplify right side
    71,175.84x = 2,539,837,689.50
  5. Step 5: Solve for x
    x = 2,539,837,689.50/71,175.84
  6. Step 6: Final answer
    x = 35,683.99

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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.