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Finding the Fourth Proportional to 32,120.64, 47,994.96 and 23,193.48

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Solution

The fourth proportional to 32,120.64, 47,994.96 and 23,193.48 is: 34,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.64 : 47,994.96 = 23,193.48 : x
  2. Step 2: Convert to fraction form
    32,120.64/47,994.96 = 23,193.48/x
  3. Step 3: Cross multiply
    32,120.64x = 47,994.96 × 23,193.48
  4. Step 4: Simplify right side
    32,120.64x = 1,113,170,144.86
  5. Step 5: Solve for x
    x = 1,113,170,144.86/32,120.64
  6. Step 6: Final answer
    x = 34,655.91

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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.