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Finding the Fourth Proportional to 30,797.52, 46,209.99 and 17,649.90

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Solution

The fourth proportional to 30,797.52, 46,209.99 and 17,649.90 is: 26,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.52 : 46,209.99 = 17,649.90 : x
  2. Step 2: Convert to fraction form
    30,797.52/46,209.99 = 17,649.90/x
  3. Step 3: Cross multiply
    30,797.52x = 46,209.99 × 17,649.90
  4. Step 4: Simplify right side
    30,797.52x = 815,601,768.69
  5. Step 5: Solve for x
    x = 815,601,768.69/30,797.52
  6. Step 6: Final answer
    x = 26,482.71

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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.