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Finding the Fourth Proportional to 32,011.41, 44,175 and 17,672.37

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Solution

The fourth proportional to 32,011.41, 44,175 and 17,672.37 is: 24,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.41 : 44,175 = 17,672.37 : x
  2. Step 2: Convert to fraction form
    32,011.41/44,175 = 17,672.37/x
  3. Step 3: Cross multiply
    32,011.41x = 44,175 × 17,672.37
  4. Step 4: Simplify right side
    32,011.41x = 780,676,944.75
  5. Step 5: Solve for x
    x = 780,676,944.75/32,011.41
  6. Step 6: Final answer
    x = 24,387.46

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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.