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Finding the Fourth Proportional to 30,442.97, 42,008.49 and 17,012.36

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Solution

The fourth proportional to 30,442.97, 42,008.49 and 17,012.36 is: 23,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.97 : 42,008.49 = 17,012.36 : x
  2. Step 2: Convert to fraction form
    30,442.97/42,008.49 = 17,012.36/x
  3. Step 3: Cross multiply
    30,442.97x = 42,008.49 × 17,012.36
  4. Step 4: Simplify right side
    30,442.97x = 714,663,659.96
  5. Step 5: Solve for x
    x = 714,663,659.96/30,442.97
  6. Step 6: Final answer
    x = 23,475.49

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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.