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Finding the Fourth Proportional to 89,424, 123,405.12 and 49,680

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Solution

The fourth proportional to 89,424, 123,405.12 and 49,680 is: 68,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424 : 123,405.12 = 49,680 : x
  2. Step 2: Convert to fraction form
    89,424/123,405.12 = 49,680/x
  3. Step 3: Cross multiply
    89,424x = 123,405.12 × 49,680
  4. Step 4: Simplify right side
    89,424x = 6,130,766,361.60
  5. Step 5: Solve for x
    x = 6,130,766,361.60/89,424
  6. Step 6: Final answer
    x = 68,558.40

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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.