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Finding the Fourth Proportional to 52,963.38, 73,094.54 and 30,297.87

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Solution

The fourth proportional to 52,963.38, 73,094.54 and 30,297.87 is: 41,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,963.38 : 73,094.54 = 30,297.87 : x
  2. Step 2: Convert to fraction form
    52,963.38/73,094.54 = 30,297.87/x
  3. Step 3: Cross multiply
    52,963.38x = 73,094.54 × 30,297.87
  4. Step 4: Simplify right side
    52,963.38x = 2,214,608,719.14
  5. Step 5: Solve for x
    x = 2,214,608,719.14/52,963.38
  6. Step 6: Final answer
    x = 41,813.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.