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Finding the Fourth Proportional to 52,102.38, 78,166.52 and 15,166.38

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Solution

The fourth proportional to 52,102.38, 78,166.52 and 15,166.38 is: 22,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.38 : 78,166.52 = 15,166.38 : x
  2. Step 2: Convert to fraction form
    52,102.38/78,166.52 = 15,166.38/x
  3. Step 3: Cross multiply
    52,102.38x = 78,166.52 × 15,166.38
  4. Step 4: Simplify right side
    52,102.38x = 1,185,503,145.60
  5. Step 5: Solve for x
    x = 1,185,503,145.60/52,102.38
  6. Step 6: Final answer
    x = 22,753.34

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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.