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Finding the Fourth Proportional to 30,775.68, 42,496.38 and 18,842.85

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Solution

The fourth proportional to 30,775.68, 42,496.38 and 18,842.85 is: 26,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.68 : 42,496.38 = 18,842.85 : x
  2. Step 2: Convert to fraction form
    30,775.68/42,496.38 = 18,842.85/x
  3. Step 3: Cross multiply
    30,775.68x = 42,496.38 × 18,842.85
  4. Step 4: Simplify right side
    30,775.68x = 800,752,913.88
  5. Step 5: Solve for x
    x = 800,752,913.88/30,775.68
  6. Step 6: Final answer
    x = 26,019.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.