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Finding the Fourth Proportional to 31,857.21, 47,725.88 and 18,670.41

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Solution

The fourth proportional to 31,857.21, 47,725.88 and 18,670.41 is: 27,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.21 : 47,725.88 = 18,670.41 : x
  2. Step 2: Convert to fraction form
    31,857.21/47,725.88 = 18,670.41/x
  3. Step 3: Cross multiply
    31,857.21x = 47,725.88 × 18,670.41
  4. Step 4: Simplify right side
    31,857.21x = 891,061,653.86
  5. Step 5: Solve for x
    x = 891,061,653.86/31,857.21
  6. Step 6: Final answer
    x = 27,970.49

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