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Finding the Fourth Proportional to 31,704.84, 43,712.88 and 20,354.28

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Solution

The fourth proportional to 31,704.84, 43,712.88 and 20,354.28 is: 28,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.84 : 43,712.88 = 20,354.28 : x
  2. Step 2: Convert to fraction form
    31,704.84/43,712.88 = 20,354.28/x
  3. Step 3: Cross multiply
    31,704.84x = 43,712.88 × 20,354.28
  4. Step 4: Simplify right side
    31,704.84x = 889,744,199.13
  5. Step 5: Solve for x
    x = 889,744,199.13/31,704.84
  6. Step 6: Final answer
    x = 28,063.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.