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Finding the Fourth Proportional to 89,706.30, 123,796.27 and 49,419.78

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Solution

The fourth proportional to 89,706.30, 123,796.27 and 49,419.78 is: 68,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706.30 : 123,796.27 = 49,419.78 : x
  2. Step 2: Convert to fraction form
    89,706.30/123,796.27 = 49,419.78/x
  3. Step 3: Cross multiply
    89,706.30x = 123,796.27 × 49,419.78
  4. Step 4: Simplify right side
    89,706.30x = 6,117,984,428.22
  5. Step 5: Solve for x
    x = 6,117,984,428.22/89,706.30
  6. Step 6: Final answer
    x = 68,200.16

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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.