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Finding the Fourth Proportional to 89,471.56, 123,463.56 and 49,184.32

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Solution

The fourth proportional to 89,471.56, 123,463.56 and 49,184.32 is: 67,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,471.56 : 123,463.56 = 49,184.32 : x
  2. Step 2: Convert to fraction form
    89,471.56/123,463.56 = 49,184.32/x
  3. Step 3: Cross multiply
    89,471.56x = 123,463.56 × 49,184.32
  4. Step 4: Simplify right side
    89,471.56x = 6,072,471,243.38
  5. Step 5: Solve for x
    x = 6,072,471,243.38/89,471.56
  6. Step 6: Final answer
    x = 67,870.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.