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Finding the Fourth Proportional to 30,936.66, 46,414.19 and 9,878.05

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Solution

The fourth proportional to 30,936.66, 46,414.19 and 9,878.05 is: 14,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936.66 : 46,414.19 = 9,878.05 : x
  2. Step 2: Convert to fraction form
    30,936.66/46,414.19 = 9,878.05/x
  3. Step 3: Cross multiply
    30,936.66x = 46,414.19 × 9,878.05
  4. Step 4: Simplify right side
    30,936.66x = 458,481,689.53
  5. Step 5: Solve for x
    x = 458,481,689.53/30,936.66
  6. Step 6: Final answer
    x = 14,820.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.