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Finding the Fourth Proportional to 30,641.09, 42,284.84 and 17,216.96

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Solution

The fourth proportional to 30,641.09, 42,284.84 and 17,216.96 is: 23,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.09 : 42,284.84 = 17,216.96 : x
  2. Step 2: Convert to fraction form
    30,641.09/42,284.84 = 17,216.96/x
  3. Step 3: Cross multiply
    30,641.09x = 42,284.84 × 17,216.96
  4. Step 4: Simplify right side
    30,641.09x = 728,016,101.38
  5. Step 5: Solve for x
    x = 728,016,101.38/30,641.09
  6. Step 6: Final answer
    x = 23,759.48

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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.