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Finding the Fourth Proportional to 52,032.73, 78,049.10 and 12,589.84

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Solution

The fourth proportional to 52,032.73, 78,049.10 and 12,589.84 is: 18,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032.73 : 78,049.10 = 12,589.84 : x
  2. Step 2: Convert to fraction form
    52,032.73/78,049.10 = 12,589.84/x
  3. Step 3: Cross multiply
    52,032.73x = 78,049.10 × 12,589.84
  4. Step 4: Simplify right side
    52,032.73x = 982,625,715.76
  5. Step 5: Solve for x
    x = 982,625,715.76/52,032.73
  6. Step 6: Final answer
    x = 18,884.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.