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Finding the Fourth Proportional to 89,145.46, 123,013.74 and 51,412.42

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Solution

The fourth proportional to 89,145.46, 123,013.74 and 51,412.42 is: 70,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,145.46 : 123,013.74 = 51,412.42 : x
  2. Step 2: Convert to fraction form
    89,145.46/123,013.74 = 51,412.42/x
  3. Step 3: Cross multiply
    89,145.46x = 123,013.74 × 51,412.42
  4. Step 4: Simplify right side
    89,145.46x = 6,324,434,124.02
  5. Step 5: Solve for x
    x = 6,324,434,124.02/89,145.46
  6. Step 6: Final answer
    x = 70,945.11

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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.