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Finding the Fourth Proportional to 32,169, 44,393.36 and 17,829.48

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Solution

The fourth proportional to 32,169, 44,393.36 and 17,829.48 is: 24,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169 : 44,393.36 = 17,829.48 : x
  2. Step 2: Convert to fraction form
    32,169/44,393.36 = 17,829.48/x
  3. Step 3: Cross multiply
    32,169x = 44,393.36 × 17,829.48
  4. Step 4: Simplify right side
    32,169x = 791,510,524.25
  5. Step 5: Solve for x
    x = 791,510,524.25/32,169
  6. Step 6: Final answer
    x = 24,604.76

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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.