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Finding the Fourth Proportional to 43,156.96, 64,735.44 and 24,676

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Solution

The fourth proportional to 43,156.96, 64,735.44 and 24,676 is: 37,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156.96 : 64,735.44 = 24,676 : x
  2. Step 2: Convert to fraction form
    43,156.96/64,735.44 = 24,676/x
  3. Step 3: Cross multiply
    43,156.96x = 64,735.44 × 24,676
  4. Step 4: Simplify right side
    43,156.96x = 1,597,411,717.44
  5. Step 5: Solve for x
    x = 1,597,411,717.44/43,156.96
  6. Step 6: Final answer
    x = 37,014

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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.