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Finding the Fourth Proportional to 30,917.32, 42,665.70 and 16,770.04

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Solution

The fourth proportional to 30,917.32, 42,665.70 and 16,770.04 is: 23,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.32 : 42,665.70 = 16,770.04 : x
  2. Step 2: Convert to fraction form
    30,917.32/42,665.70 = 16,770.04/x
  3. Step 3: Cross multiply
    30,917.32x = 42,665.70 × 16,770.04
  4. Step 4: Simplify right side
    30,917.32x = 715,505,495.63
  5. Step 5: Solve for x
    x = 715,505,495.63/30,917.32
  6. Step 6: Final answer
    x = 23,142.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.