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Finding the Fourth Proportional to 30,441.38, 42,008.27 and 17,012.31

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Solution

The fourth proportional to 30,441.38, 42,008.27 and 17,012.31 is: 23,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.38 : 42,008.27 = 17,012.31 : x
  2. Step 2: Convert to fraction form
    30,441.38/42,008.27 = 17,012.31/x
  3. Step 3: Cross multiply
    30,441.38x = 42,008.27 × 17,012.31
  4. Step 4: Simplify right side
    30,441.38x = 714,657,626.74
  5. Step 5: Solve for x
    x = 714,657,626.74/30,441.38
  6. Step 6: Final answer
    x = 23,476.52

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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.