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Finding the Fourth Proportional to 82,754.52, 124,101.54 and 30,148.44

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Solution

The fourth proportional to 82,754.52, 124,101.54 and 30,148.44 is: 45,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,754.52 : 124,101.54 = 30,148.44 : x
  2. Step 2: Convert to fraction form
    82,754.52/124,101.54 = 30,148.44/x
  3. Step 3: Cross multiply
    82,754.52x = 124,101.54 × 30,148.44
  4. Step 4: Simplify right side
    82,754.52x = 3,741,467,832.60
  5. Step 5: Solve for x
    x = 3,741,467,832.60/82,754.52
  6. Step 6: Final answer
    x = 45,211.64

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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.