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Finding the Fourth Proportional to 89,826.80, 123,964.06 and 49,541.80

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Solution

The fourth proportional to 89,826.80, 123,964.06 and 49,541.80 is: 68,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,826.80 : 123,964.06 = 49,541.80 : x
  2. Step 2: Convert to fraction form
    89,826.80/123,964.06 = 49,541.80/x
  3. Step 3: Cross multiply
    89,826.80x = 123,964.06 × 49,541.80
  4. Step 4: Simplify right side
    89,826.80x = 6,141,402,667.71
  5. Step 5: Solve for x
    x = 6,141,402,667.71/89,826.80
  6. Step 6: Final answer
    x = 68,369.38

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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.