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Finding the Fourth Proportional to 52,101.38, 78,165.02 and 15,165.38

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Solution

The fourth proportional to 52,101.38, 78,165.02 and 15,165.38 is: 22,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.38 : 78,165.02 = 15,165.38 : x
  2. Step 2: Convert to fraction form
    52,101.38/78,165.02 = 15,165.38/x
  3. Step 3: Cross multiply
    52,101.38x = 78,165.02 × 15,165.38
  4. Step 4: Simplify right side
    52,101.38x = 1,185,401,878.10
  5. Step 5: Solve for x
    x = 1,185,401,878.10/52,101.38
  6. Step 6: Final answer
    x = 22,751.83

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Why These Related Problems?

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