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Finding the Fourth Proportional to 89,740, 123,841.68 and 49,996

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Solution

The fourth proportional to 89,740, 123,841.68 and 49,996 is: 68,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,740 : 123,841.68 = 49,996 : x
  2. Step 2: Convert to fraction form
    89,740/123,841.68 = 49,996/x
  3. Step 3: Cross multiply
    89,740x = 123,841.68 × 49,996
  4. Step 4: Simplify right side
    89,740x = 6,191,588,633.28
  5. Step 5: Solve for x
    x = 6,191,588,633.28/89,740
  6. Step 6: Final answer
    x = 68,994.75

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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.