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Finding the Fourth Proportional to 96,509.88, 133,189.10 and 54,082.08

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Solution

The fourth proportional to 96,509.88, 133,189.10 and 54,082.08 is: 74,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.88 : 133,189.10 = 54,082.08 : x
  2. Step 2: Convert to fraction form
    96,509.88/133,189.10 = 54,082.08/x
  3. Step 3: Cross multiply
    96,509.88x = 133,189.10 × 54,082.08
  4. Step 4: Simplify right side
    96,509.88x = 7,203,143,561.33
  5. Step 5: Solve for x
    x = 7,203,143,561.33/96,509.88
  6. Step 6: Final answer
    x = 74,636.33

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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.