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Finding the Fourth Proportional to 83,051.44, 114,735.84 and 54,439

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Solution

The fourth proportional to 83,051.44, 114,735.84 and 54,439 is: 75,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051.44 : 114,735.84 = 54,439 : x
  2. Step 2: Convert to fraction form
    83,051.44/114,735.84 = 54,439/x
  3. Step 3: Cross multiply
    83,051.44x = 114,735.84 × 54,439
  4. Step 4: Simplify right side
    83,051.44x = 6,246,104,393.76
  5. Step 5: Solve for x
    x = 6,246,104,393.76/83,051.44
  6. Step 6: Final answer
    x = 75,207.66

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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.