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Finding the Fourth Proportional to 30,329.31, 41,852.74 and 16,716.90

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Solution

The fourth proportional to 30,329.31, 41,852.74 and 16,716.90 is: 23,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.31 : 41,852.74 = 16,716.90 : x
  2. Step 2: Convert to fraction form
    30,329.31/41,852.74 = 16,716.90/x
  3. Step 3: Cross multiply
    30,329.31x = 41,852.74 × 16,716.90
  4. Step 4: Simplify right side
    30,329.31x = 699,648,069.31
  5. Step 5: Solve for x
    x = 699,648,069.31/30,329.31
  6. Step 6: Final answer
    x = 23,068.38

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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.