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Finding the Fourth Proportional to 32,178.41, 44,403.97 and 17,838.11

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Solution

The fourth proportional to 32,178.41, 44,403.97 and 17,838.11 is: 24,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.41 : 44,403.97 = 17,838.11 : x
  2. Step 2: Convert to fraction form
    32,178.41/44,403.97 = 17,838.11/x
  3. Step 3: Cross multiply
    32,178.41x = 44,403.97 × 17,838.11
  4. Step 4: Simplify right side
    32,178.41x = 792,082,801.56
  5. Step 5: Solve for x
    x = 792,082,801.56/32,178.41
  6. Step 6: Final answer
    x = 24,615.35

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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.