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Finding the Fourth Proportional to 96,748.38, 133,513.20 and 53,728.38

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Solution

The fourth proportional to 96,748.38, 133,513.20 and 53,728.38 is: 74,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,748.38 : 133,513.20 = 53,728.38 : x
  2. Step 2: Convert to fraction form
    96,748.38/133,513.20 = 53,728.38/x
  3. Step 3: Cross multiply
    96,748.38x = 133,513.20 × 53,728.38
  4. Step 4: Simplify right side
    96,748.38x = 7,173,447,944.62
  5. Step 5: Solve for x
    x = 7,173,447,944.62/96,748.38
  6. Step 6: Final answer
    x = 74,145.41

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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.