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Finding the Fourth Proportional to 32,121.64, 47,996.45 and 23,194.48

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Solution

The fourth proportional to 32,121.64, 47,996.45 and 23,194.48 is: 34,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.64 : 47,996.45 = 23,194.48 : x
  2. Step 2: Convert to fraction form
    32,121.64/47,996.45 = 23,194.48/x
  3. Step 3: Cross multiply
    32,121.64x = 47,996.45 × 23,194.48
  4. Step 4: Simplify right side
    32,121.64x = 1,113,252,699.60
  5. Step 5: Solve for x
    x = 1,113,252,699.60/32,121.64
  6. Step 6: Final answer
    x = 34,657.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.