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Finding the Fourth Proportional to 32,116.70, 48,175.05 and 31,460.60

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Solution

The fourth proportional to 32,116.70, 48,175.05 and 31,460.60 is: 47,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.70 : 48,175.05 = 31,460.60 : x
  2. Step 2: Convert to fraction form
    32,116.70/48,175.05 = 31,460.60/x
  3. Step 3: Cross multiply
    32,116.70x = 48,175.05 × 31,460.60
  4. Step 4: Simplify right side
    32,116.70x = 1,515,615,978.03
  5. Step 5: Solve for x
    x = 1,515,615,978.03/32,116.70
  6. Step 6: Final answer
    x = 47,190.90

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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.