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Finding the Fourth Proportional to 32,071.41, 44,257.60 and 17,924.22

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Solution

The fourth proportional to 32,071.41, 44,257.60 and 17,924.22 is: 24,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.41 : 44,257.60 = 17,924.22 : x
  2. Step 2: Convert to fraction form
    32,071.41/44,257.60 = 17,924.22/x
  3. Step 3: Cross multiply
    32,071.41x = 44,257.60 × 17,924.22
  4. Step 4: Simplify right side
    32,071.41x = 793,283,024.91
  5. Step 5: Solve for x
    x = 793,283,024.91/32,071.41
  6. Step 6: Final answer
    x = 24,734.90

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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.