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Finding the Fourth Proportional to 52,428.96, 78,658.02 and 22,849.38

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Solution

The fourth proportional to 52,428.96, 78,658.02 and 22,849.38 is: 34,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,428.96 : 78,658.02 = 22,849.38 : x
  2. Step 2: Convert to fraction form
    52,428.96/78,658.02 = 22,849.38/x
  3. Step 3: Cross multiply
    52,428.96x = 78,658.02 × 22,849.38
  4. Step 4: Simplify right side
    52,428.96x = 1,797,286,989.03
  5. Step 5: Solve for x
    x = 1,797,286,989.03/52,428.96
  6. Step 6: Final answer
    x = 34,280.42

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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.