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Finding the Fourth Proportional to 31,379.25, 47,076.18 and 10,602.75

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Solution

The fourth proportional to 31,379.25, 47,076.18 and 10,602.75 is: 15,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.25 : 47,076.18 = 10,602.75 : x
  2. Step 2: Convert to fraction form
    31,379.25/47,076.18 = 10,602.75/x
  3. Step 3: Cross multiply
    31,379.25x = 47,076.18 × 10,602.75
  4. Step 4: Simplify right side
    31,379.25x = 499,136,967.50
  5. Step 5: Solve for x
    x = 499,136,967.50/31,379.25
  6. Step 6: Final answer
    x = 15,906.59

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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.