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Finding the Fourth Proportional to 82,060.88, 123,049.16 and 37,649.32

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Solution

The fourth proportional to 82,060.88, 123,049.16 and 37,649.32 is: 56,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,060.88 : 123,049.16 = 37,649.32 : x
  2. Step 2: Convert to fraction form
    82,060.88/123,049.16 = 37,649.32/x
  3. Step 3: Cross multiply
    82,060.88x = 123,049.16 × 37,649.32
  4. Step 4: Simplify right side
    82,060.88x = 4,632,717,200.57
  5. Step 5: Solve for x
    x = 4,632,717,200.57/82,060.88
  6. Step 6: Final answer
    x = 56,454.64

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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.