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Finding the Fourth Proportional to 32,076, 44,286.75 and 19,522.62

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Solution

The fourth proportional to 32,076, 44,286.75 and 19,522.62 is: 26,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 44,286.75 = 19,522.62 : x
  2. Step 2: Convert to fraction form
    32,076/44,286.75 = 19,522.62/x
  3. Step 3: Cross multiply
    32,076x = 44,286.75 × 19,522.62
  4. Step 4: Simplify right side
    32,076x = 864,593,391.29
  5. Step 5: Solve for x
    x = 864,593,391.29/32,076
  6. Step 6: Final answer
    x = 26,954.53

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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.