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Finding the Fourth Proportional to 89,674.35, 123,745.86 and 51,431.91

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Solution

The fourth proportional to 89,674.35, 123,745.86 and 51,431.91 is: 70,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,674.35 : 123,745.86 = 51,431.91 : x
  2. Step 2: Convert to fraction form
    89,674.35/123,745.86 = 51,431.91/x
  3. Step 3: Cross multiply
    89,674.35x = 123,745.86 × 51,431.91
  4. Step 4: Simplify right side
    89,674.35x = 6,364,485,934.39
  5. Step 5: Solve for x
    x = 6,364,485,934.39/89,674.35
  6. Step 6: Final answer
    x = 70,973.32

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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.