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Finding the Fourth Proportional to 30,346.22, 41,877.96 and 16,918.32

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Solution

The fourth proportional to 30,346.22, 41,877.96 and 16,918.32 is: 23,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.22 : 41,877.96 = 16,918.32 : x
  2. Step 2: Convert to fraction form
    30,346.22/41,877.96 = 16,918.32/x
  3. Step 3: Cross multiply
    30,346.22x = 41,877.96 × 16,918.32
  4. Step 4: Simplify right side
    30,346.22x = 708,504,728.23
  5. Step 5: Solve for x
    x = 708,504,728.23/30,346.22
  6. Step 6: Final answer
    x = 23,347.38

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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.