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Finding the Fourth Proportional to 29,435.84, 44,116.32 and 13,832

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Solution

The fourth proportional to 29,435.84, 44,116.32 and 13,832 is: 20,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,435.84 : 44,116.32 = 13,832 : x
  2. Step 2: Convert to fraction form
    29,435.84/44,116.32 = 13,832/x
  3. Step 3: Cross multiply
    29,435.84x = 44,116.32 × 13,832
  4. Step 4: Simplify right side
    29,435.84x = 610,216,938.24
  5. Step 5: Solve for x
    x = 610,216,938.24/29,435.84
  6. Step 6: Final answer
    x = 20,730.41

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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.