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Finding the Fourth Proportional to 52,471.45, 78,730.44 and 27,505.54

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Solution

The fourth proportional to 52,471.45, 78,730.44 and 27,505.54 is: 41,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.45 : 78,730.44 = 27,505.54 : x
  2. Step 2: Convert to fraction form
    52,471.45/78,730.44 = 27,505.54/x
  3. Step 3: Cross multiply
    52,471.45x = 78,730.44 × 27,505.54
  4. Step 4: Simplify right side
    52,471.45x = 2,165,523,266.64
  5. Step 5: Solve for x
    x = 2,165,523,266.64/52,471.45
  6. Step 6: Final answer
    x = 41,270.51

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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.