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Finding the Fourth Proportional to 30,490.38, 42,071.67 and 17,917.56

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Solution

The fourth proportional to 30,490.38, 42,071.67 and 17,917.56 is: 24,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.38 : 42,071.67 = 17,917.56 : x
  2. Step 2: Convert to fraction form
    30,490.38/42,071.67 = 17,917.56/x
  3. Step 3: Cross multiply
    30,490.38x = 42,071.67 × 17,917.56
  4. Step 4: Simplify right side
    30,490.38x = 753,821,671.53
  5. Step 5: Solve for x
    x = 753,821,671.53/30,490.38
  6. Step 6: Final answer
    x = 24,723.26

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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.