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Finding the Fourth Proportional to 32,894.54, 49,304.82 and 16,219.28

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Solution

The fourth proportional to 32,894.54, 49,304.82 and 16,219.28 is: 24,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.54 : 49,304.82 = 16,219.28 : x
  2. Step 2: Convert to fraction form
    32,894.54/49,304.82 = 16,219.28/x
  3. Step 3: Cross multiply
    32,894.54x = 49,304.82 × 16,219.28
  4. Step 4: Simplify right side
    32,894.54x = 799,688,680.93
  5. Step 5: Solve for x
    x = 799,688,680.93/32,894.54
  6. Step 6: Final answer
    x = 24,310.68

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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.