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Finding the Fourth Proportional to 82,493.40, 123,715.80 and 32,556.90

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Solution

The fourth proportional to 82,493.40, 123,715.80 and 32,556.90 is: 48,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.40 : 123,715.80 = 32,556.90 : x
  2. Step 2: Convert to fraction form
    82,493.40/123,715.80 = 32,556.90/x
  3. Step 3: Cross multiply
    82,493.40x = 123,715.80 × 32,556.90
  4. Step 4: Simplify right side
    82,493.40x = 4,027,802,929.02
  5. Step 5: Solve for x
    x = 4,027,802,929.02/82,493.40
  6. Step 6: Final answer
    x = 48,825.76

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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.