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Finding the Fourth Proportional to 89,333.56, 123,282.24 and 51,096.60

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Solution

The fourth proportional to 89,333.56, 123,282.24 and 51,096.60 is: 70,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,333.56 : 123,282.24 = 51,096.60 : x
  2. Step 2: Convert to fraction form
    89,333.56/123,282.24 = 51,096.60/x
  3. Step 3: Cross multiply
    89,333.56x = 123,282.24 × 51,096.60
  4. Step 4: Simplify right side
    89,333.56x = 6,299,303,304.38
  5. Step 5: Solve for x
    x = 6,299,303,304.38/89,333.56
  6. Step 6: Final answer
    x = 70,514.41

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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.