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Finding the Fourth Proportional to 84,415.52, 126,666.48 and 34,532.48

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Solution

The fourth proportional to 84,415.52, 126,666.48 and 34,532.48 is: 51,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,415.52 : 126,666.48 = 34,532.48 : x
  2. Step 2: Convert to fraction form
    84,415.52/126,666.48 = 34,532.48/x
  3. Step 3: Cross multiply
    84,415.52x = 126,666.48 × 34,532.48
  4. Step 4: Simplify right side
    84,415.52x = 4,374,107,687.27
  5. Step 5: Solve for x
    x = 4,374,107,687.27/84,415.52
  6. Step 6: Final answer
    x = 51,816.39

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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.