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Finding the Fourth Proportional to 89,709, 123,798.42 and 49,965

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Solution

The fourth proportional to 89,709, 123,798.42 and 49,965 is: 68,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,709 : 123,798.42 = 49,965 : x
  2. Step 2: Convert to fraction form
    89,709/123,798.42 = 49,965/x
  3. Step 3: Cross multiply
    89,709x = 123,798.42 × 49,965
  4. Step 4: Simplify right side
    89,709x = 6,185,588,055.30
  5. Step 5: Solve for x
    x = 6,185,588,055.30/89,709
  6. Step 6: Final answer
    x = 68,951.70

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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.