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Finding the Fourth Proportional to 89,704, 123,795.36 and 49,960

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Solution

The fourth proportional to 89,704, 123,795.36 and 49,960 is: 68,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,704 : 123,795.36 = 49,960 : x
  2. Step 2: Convert to fraction form
    89,704/123,795.36 = 49,960/x
  3. Step 3: Cross multiply
    89,704x = 123,795.36 × 49,960
  4. Step 4: Simplify right side
    89,704x = 6,184,816,185.60
  5. Step 5: Solve for x
    x = 6,184,816,185.60/89,704
  6. Step 6: Final answer
    x = 68,946.94

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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.