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Finding the Fourth Proportional to 32,872.88, 45,364.58 and 17,765.49

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Solution

The fourth proportional to 32,872.88, 45,364.58 and 17,765.49 is: 24,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.88 : 45,364.58 = 17,765.49 : x
  2. Step 2: Convert to fraction form
    32,872.88/45,364.58 = 17,765.49/x
  3. Step 3: Cross multiply
    32,872.88x = 45,364.58 × 17,765.49
  4. Step 4: Simplify right side
    32,872.88x = 805,923,992.34
  5. Step 5: Solve for x
    x = 805,923,992.34/32,872.88
  6. Step 6: Final answer
    x = 24,516.38

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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.