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Finding the Fourth Proportional to 31,495.41, 47,245.62 and 10,434.60

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Solution

The fourth proportional to 31,495.41, 47,245.62 and 10,434.60 is: 15,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.41 : 47,245.62 = 10,434.60 : x
  2. Step 2: Convert to fraction form
    31,495.41/47,245.62 = 10,434.60/x
  3. Step 3: Cross multiply
    31,495.41x = 47,245.62 × 10,434.60
  4. Step 4: Simplify right side
    31,495.41x = 492,989,146.45
  5. Step 5: Solve for x
    x = 492,989,146.45/31,495.41
  6. Step 6: Final answer
    x = 15,652.73

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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.