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Finding the Fourth Proportional to 82,274.40, 123,398.40 and 29,656.80

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Solution

The fourth proportional to 82,274.40, 123,398.40 and 29,656.80 is: 44,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274.40 : 123,398.40 = 29,656.80 : x
  2. Step 2: Convert to fraction form
    82,274.40/123,398.40 = 29,656.80/x
  3. Step 3: Cross multiply
    82,274.40x = 123,398.40 × 29,656.80
  4. Step 4: Simplify right side
    82,274.40x = 3,659,601,669.12
  5. Step 5: Solve for x
    x = 3,659,601,669.12/82,274.40
  6. Step 6: Final answer
    x = 44,480.44

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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.