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Finding the Fourth Proportional to 30,878.49, 42,611.75 and 17,449.46

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Solution

The fourth proportional to 30,878.49, 42,611.75 and 17,449.46 is: 24,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.49 : 42,611.75 = 17,449.46 : x
  2. Step 2: Convert to fraction form
    30,878.49/42,611.75 = 17,449.46/x
  3. Step 3: Cross multiply
    30,878.49x = 42,611.75 × 17,449.46
  4. Step 4: Simplify right side
    30,878.49x = 743,552,027.16
  5. Step 5: Solve for x
    x = 743,552,027.16/30,878.49
  6. Step 6: Final answer
    x = 24,079.93

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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.