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Finding the Fourth Proportional to 32,164.39, 44,386.20 and 17,824.10

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Solution

The fourth proportional to 32,164.39, 44,386.20 and 17,824.10 is: 24,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.39 : 44,386.20 = 17,824.10 : x
  2. Step 2: Convert to fraction form
    32,164.39/44,386.20 = 17,824.10/x
  3. Step 3: Cross multiply
    32,164.39x = 44,386.20 × 17,824.10
  4. Step 4: Simplify right side
    32,164.39x = 791,144,067.42
  5. Step 5: Solve for x
    x = 791,144,067.42/32,164.39
  6. Step 6: Final answer
    x = 24,596.89

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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.