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Finding the Fourth Proportional to 30,878.65, 42,607.94 and 17,449.80

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Solution

The fourth proportional to 30,878.65, 42,607.94 and 17,449.80 is: 24,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.65 : 42,607.94 = 17,449.80 : x
  2. Step 2: Convert to fraction form
    30,878.65/42,607.94 = 17,449.80/x
  3. Step 3: Cross multiply
    30,878.65x = 42,607.94 × 17,449.80
  4. Step 4: Simplify right side
    30,878.65x = 743,499,731.12
  5. Step 5: Solve for x
    x = 743,499,731.12/30,878.65
  6. Step 6: Final answer
    x = 24,078.12

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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.