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Finding the Fourth Proportional to 52,071, 71,892.54 and 32,233.56

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Solution

The fourth proportional to 52,071, 71,892.54 and 32,233.56 is: 44,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071 : 71,892.54 = 32,233.56 : x
  2. Step 2: Convert to fraction form
    52,071/71,892.54 = 32,233.56/x
  3. Step 3: Cross multiply
    52,071x = 71,892.54 × 32,233.56
  4. Step 4: Simplify right side
    52,071x = 2,317,352,501.64
  5. Step 5: Solve for x
    x = 2,317,352,501.64/52,071
  6. Step 6: Final answer
    x = 44,503.71

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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.