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Finding the Fourth Proportional to 32,101.60, 44,301.36 and 17,954.32

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Solution

The fourth proportional to 32,101.60, 44,301.36 and 17,954.32 is: 24,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.60 : 44,301.36 = 17,954.32 : x
  2. Step 2: Convert to fraction form
    32,101.60/44,301.36 = 17,954.32/x
  3. Step 3: Cross multiply
    32,101.60x = 44,301.36 × 17,954.32
  4. Step 4: Simplify right side
    32,101.60x = 795,400,793.88
  5. Step 5: Solve for x
    x = 795,400,793.88/32,101.60
  6. Step 6: Final answer
    x = 24,777.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.