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Finding the Fourth Proportional to 32,416, 44,734.08 and 17,512

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Solution

The fourth proportional to 32,416, 44,734.08 and 17,512 is: 24,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416 : 44,734.08 = 17,512 : x
  2. Step 2: Convert to fraction form
    32,416/44,734.08 = 17,512/x
  3. Step 3: Cross multiply
    32,416x = 44,734.08 × 17,512
  4. Step 4: Simplify right side
    32,416x = 783,383,208.96
  5. Step 5: Solve for x
    x = 783,383,208.96/32,416
  6. Step 6: Final answer
    x = 24,166.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.