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Finding the Fourth Proportional to 82,204.64, 123,277.78 and 29,600

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Solution

The fourth proportional to 82,204.64, 123,277.78 and 29,600 is: 44,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.64 : 123,277.78 = 29,600 : x
  2. Step 2: Convert to fraction form
    82,204.64/123,277.78 = 29,600/x
  3. Step 3: Cross multiply
    82,204.64x = 123,277.78 × 29,600
  4. Step 4: Simplify right side
    82,204.64x = 3,649,022,288
  5. Step 5: Solve for x
    x = 3,649,022,288/82,204.64
  6. Step 6: Final answer
    x = 44,389.49

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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.