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Finding the Fourth Proportional to 96,465.65, 144,747.87 and 45,921.88

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Solution

The fourth proportional to 96,465.65, 144,747.87 and 45,921.88 is: 68,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465.65 : 144,747.87 = 45,921.88 : x
  2. Step 2: Convert to fraction form
    96,465.65/144,747.87 = 45,921.88/x
  3. Step 3: Cross multiply
    96,465.65x = 144,747.87 × 45,921.88
  4. Step 4: Simplify right side
    96,465.65x = 6,647,094,316.40
  5. Step 5: Solve for x
    x = 6,647,094,316.40/96,465.65
  6. Step 6: Final answer
    x = 68,906.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.