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Finding the Fourth Proportional to 89,209.10, 123,097.22 and 50,971.13

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Solution

The fourth proportional to 89,209.10, 123,097.22 and 50,971.13 is: 70,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,209.10 : 123,097.22 = 50,971.13 : x
  2. Step 2: Convert to fraction form
    89,209.10/123,097.22 = 50,971.13/x
  3. Step 3: Cross multiply
    89,209.10x = 123,097.22 × 50,971.13
  4. Step 4: Simplify right side
    89,209.10x = 6,274,404,185.67
  5. Step 5: Solve for x
    x = 6,274,404,185.67/89,209.10
  6. Step 6: Final answer
    x = 70,333.68

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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.