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Finding the Fourth Proportional to 32,071.53, 44,254.88 and 17,729.43

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Solution

The fourth proportional to 32,071.53, 44,254.88 and 17,729.43 is: 24,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.53 : 44,254.88 = 17,729.43 : x
  2. Step 2: Convert to fraction form
    32,071.53/44,254.88 = 17,729.43/x
  3. Step 3: Cross multiply
    32,071.53x = 44,254.88 × 17,729.43
  4. Step 4: Simplify right side
    32,071.53x = 784,613,708.47
  5. Step 5: Solve for x
    x = 784,613,708.47/32,071.53
  6. Step 6: Final answer
    x = 24,464.49

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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.