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Finding the Fourth Proportional to 74,197.62, 102,395.34 and 53,027.46

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Solution

The fourth proportional to 74,197.62, 102,395.34 and 53,027.46 is: 73,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,197.62 : 102,395.34 = 53,027.46 : x
  2. Step 2: Convert to fraction form
    74,197.62/102,395.34 = 53,027.46/x
  3. Step 3: Cross multiply
    74,197.62x = 102,395.34 × 53,027.46
  4. Step 4: Simplify right side
    74,197.62x = 5,429,764,796.04
  5. Step 5: Solve for x
    x = 5,429,764,796.04/74,197.62
  6. Step 6: Final answer
    x = 73,179.77

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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.