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Finding the Fourth Proportional to 89,539.80, 123,555.22 and 51,807

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Solution

The fourth proportional to 89,539.80, 123,555.22 and 51,807 is: 71,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,539.80 : 123,555.22 = 51,807 : x
  2. Step 2: Convert to fraction form
    89,539.80/123,555.22 = 51,807/x
  3. Step 3: Cross multiply
    89,539.80x = 123,555.22 × 51,807
  4. Step 4: Simplify right side
    89,539.80x = 6,401,025,282.54
  5. Step 5: Solve for x
    x = 6,401,025,282.54/89,539.80
  6. Step 6: Final answer
    x = 71,488.05

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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.