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Finding the Fourth Proportional to 30,877.90, 42,606.90 and 17,449.04

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Solution

The fourth proportional to 30,877.90, 42,606.90 and 17,449.04 is: 24,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.90 : 42,606.90 = 17,449.04 : x
  2. Step 2: Convert to fraction form
    30,877.90/42,606.90 = 17,449.04/x
  3. Step 3: Cross multiply
    30,877.90x = 42,606.90 × 17,449.04
  4. Step 4: Simplify right side
    30,877.90x = 743,449,608.89
  5. Step 5: Solve for x
    x = 743,449,608.89/30,877.90
  6. Step 6: Final answer
    x = 24,077.08

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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.