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Finding the Fourth Proportional to 32,431.38, 44,754.29 and 18,284.02

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Solution

The fourth proportional to 32,431.38, 44,754.29 and 18,284.02 is: 25,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.38 : 44,754.29 = 18,284.02 : x
  2. Step 2: Convert to fraction form
    32,431.38/44,754.29 = 18,284.02/x
  3. Step 3: Cross multiply
    32,431.38x = 44,754.29 × 18,284.02
  4. Step 4: Simplify right side
    32,431.38x = 818,288,333.45
  5. Step 5: Solve for x
    x = 818,288,333.45/32,431.38
  6. Step 6: Final answer
    x = 25,231.38

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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.