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Finding the Fourth Proportional to 47,691.12, 71,492.88 and 16,504.56

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Solution

The fourth proportional to 47,691.12, 71,492.88 and 16,504.56 is: 24,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.12 : 71,492.88 = 16,504.56 : x
  2. Step 2: Convert to fraction form
    47,691.12/71,492.88 = 16,504.56/x
  3. Step 3: Cross multiply
    47,691.12x = 71,492.88 × 16,504.56
  4. Step 4: Simplify right side
    47,691.12x = 1,179,958,527.53
  5. Step 5: Solve for x
    x = 1,179,958,527.53/47,691.12
  6. Step 6: Final answer
    x = 24,741.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.