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Finding the Fourth Proportional to 31,984.34, 44,138.40 and 17,836.88

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Solution

The fourth proportional to 31,984.34, 44,138.40 and 17,836.88 is: 24,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.34 : 44,138.40 = 17,836.88 : x
  2. Step 2: Convert to fraction form
    31,984.34/44,138.40 = 17,836.88/x
  3. Step 3: Cross multiply
    31,984.34x = 44,138.40 × 17,836.88
  4. Step 4: Simplify right side
    31,984.34x = 787,291,344.19
  5. Step 5: Solve for x
    x = 787,291,344.19/31,984.34
  6. Step 6: Final answer
    x = 24,614.90

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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.