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Finding the Fourth Proportional to 32,071.34, 44,254.60 and 17,729.22

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Solution

The fourth proportional to 32,071.34, 44,254.60 and 17,729.22 is: 24,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.34 : 44,254.60 = 17,729.22 : x
  2. Step 2: Convert to fraction form
    32,071.34/44,254.60 = 17,729.22/x
  3. Step 3: Cross multiply
    32,071.34x = 44,254.60 × 17,729.22
  4. Step 4: Simplify right side
    32,071.34x = 784,599,539.41
  5. Step 5: Solve for x
    x = 784,599,539.41/32,071.34
  6. Step 6: Final answer
    x = 24,464.20

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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.