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Finding the Fourth Proportional to 73,954.64, 102,057.44 and 42,126.52

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Solution

The fourth proportional to 73,954.64, 102,057.44 and 42,126.52 is: 58,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954.64 : 102,057.44 = 42,126.52 : x
  2. Step 2: Convert to fraction form
    73,954.64/102,057.44 = 42,126.52/x
  3. Step 3: Cross multiply
    73,954.64x = 102,057.44 × 42,126.52
  4. Step 4: Simplify right side
    73,954.64x = 4,299,324,787.31
  5. Step 5: Solve for x
    x = 4,299,324,787.31/73,954.64
  6. Step 6: Final answer
    x = 58,134.62

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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.