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Finding the Fourth Proportional to 32,733.26, 45,171.91 and 17,829.26

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Solution

The fourth proportional to 32,733.26, 45,171.91 and 17,829.26 is: 24,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733.26 : 45,171.91 = 17,829.26 : x
  2. Step 2: Convert to fraction form
    32,733.26/45,171.91 = 17,829.26/x
  3. Step 3: Cross multiply
    32,733.26x = 45,171.91 × 17,829.26
  4. Step 4: Simplify right side
    32,733.26x = 805,381,728.09
  5. Step 5: Solve for x
    x = 805,381,728.09/32,733.26
  6. Step 6: Final answer
    x = 24,604.38

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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.