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Finding the Fourth Proportional to 33,536, 46,281.12 and 18,632

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Solution

The fourth proportional to 33,536, 46,281.12 and 18,632 is: 25,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536 : 46,281.12 = 18,632 : x
  2. Step 2: Convert to fraction form
    33,536/46,281.12 = 18,632/x
  3. Step 3: Cross multiply
    33,536x = 46,281.12 × 18,632
  4. Step 4: Simplify right side
    33,536x = 862,309,827.84
  5. Step 5: Solve for x
    x = 862,309,827.84/33,536
  6. Step 6: Final answer
    x = 25,712.96

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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.