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Finding the Fourth Proportional to 30,819.99, 42,531.44 and 16,672.80

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Solution

The fourth proportional to 30,819.99, 42,531.44 and 16,672.80 is: 23,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.99 : 42,531.44 = 16,672.80 : x
  2. Step 2: Convert to fraction form
    30,819.99/42,531.44 = 16,672.80/x
  3. Step 3: Cross multiply
    30,819.99x = 42,531.44 × 16,672.80
  4. Step 4: Simplify right side
    30,819.99x = 709,118,109.47
  5. Step 5: Solve for x
    x = 709,118,109.47/30,819.99
  6. Step 6: Final answer
    x = 23,008.38

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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.