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Finding the Fourth Proportional to 30,876.96, 42,611.67 and 17,448.78

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Solution

The fourth proportional to 30,876.96, 42,611.67 and 17,448.78 is: 24,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.96 : 42,611.67 = 17,448.78 : x
  2. Step 2: Convert to fraction form
    30,876.96/42,611.67 = 17,448.78/x
  3. Step 3: Cross multiply
    30,876.96x = 42,611.67 × 17,448.78
  4. Step 4: Simplify right side
    30,876.96x = 743,521,655.26
  5. Step 5: Solve for x
    x = 743,521,655.26/30,876.96
  6. Step 6: Final answer
    x = 24,080.14

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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.