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Finding the Fourth Proportional to 30,906.29, 42,644.75 and 19,577.63

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Solution

The fourth proportional to 30,906.29, 42,644.75 and 19,577.63 is: 27,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.29 : 42,644.75 = 19,577.63 : x
  2. Step 2: Convert to fraction form
    30,906.29/42,644.75 = 19,577.63/x
  3. Step 3: Cross multiply
    30,906.29x = 42,644.75 × 19,577.63
  4. Step 4: Simplify right side
    30,906.29x = 834,883,145.67
  5. Step 5: Solve for x
    x = 834,883,145.67/30,906.29
  6. Step 6: Final answer
    x = 27,013.37

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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.