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Finding the Fourth Proportional to 82,592.43, 123,888.64 and 35,845.30

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Solution

The fourth proportional to 82,592.43, 123,888.64 and 35,845.30 is: 53,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,592.43 : 123,888.64 = 35,845.30 : x
  2. Step 2: Convert to fraction form
    82,592.43/123,888.64 = 35,845.30/x
  3. Step 3: Cross multiply
    82,592.43x = 123,888.64 × 35,845.30
  4. Step 4: Simplify right side
    82,592.43x = 4,440,825,467.39
  5. Step 5: Solve for x
    x = 4,440,825,467.39/82,592.43
  6. Step 6: Final answer
    x = 53,767.95

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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.