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Finding the Fourth Proportional to 89,206.56, 123,115.68 and 51,480

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Solution

The fourth proportional to 89,206.56, 123,115.68 and 51,480 is: 71,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206.56 : 123,115.68 = 51,480 : x
  2. Step 2: Convert to fraction form
    89,206.56/123,115.68 = 51,480/x
  3. Step 3: Cross multiply
    89,206.56x = 123,115.68 × 51,480
  4. Step 4: Simplify right side
    89,206.56x = 6,337,995,206.40
  5. Step 5: Solve for x
    x = 6,337,995,206.40/89,206.56
  6. Step 6: Final answer
    x = 71,048.53

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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.