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Finding the Fourth Proportional to 32,071.72, 44,259.94 and 17,924.20

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Solution

The fourth proportional to 32,071.72, 44,259.94 and 17,924.20 is: 24,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.72 : 44,259.94 = 17,924.20 : x
  2. Step 2: Convert to fraction form
    32,071.72/44,259.94 = 17,924.20/x
  3. Step 3: Cross multiply
    32,071.72x = 44,259.94 × 17,924.20
  4. Step 4: Simplify right side
    32,071.72x = 793,324,016.55
  5. Step 5: Solve for x
    x = 793,324,016.55/32,071.72
  6. Step 6: Final answer
    x = 24,735.94

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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.