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Finding the Fourth Proportional to 30,633.98, 42,284.06 and 17,890.60

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Solution

The fourth proportional to 30,633.98, 42,284.06 and 17,890.60 is: 24,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.98 : 42,284.06 = 17,890.60 : x
  2. Step 2: Convert to fraction form
    30,633.98/42,284.06 = 17,890.60/x
  3. Step 3: Cross multiply
    30,633.98x = 42,284.06 × 17,890.60
  4. Step 4: Simplify right side
    30,633.98x = 756,487,203.84
  5. Step 5: Solve for x
    x = 756,487,203.84/30,633.98
  6. Step 6: Final answer
    x = 24,694.38

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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.