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Finding the Fourth Proportional to 96,903.82, 133,734.46 and 53,891.10

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Solution

The fourth proportional to 96,903.82, 133,734.46 and 53,891.10 is: 74,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903.82 : 133,734.46 = 53,891.10 : x
  2. Step 2: Convert to fraction form
    96,903.82/133,734.46 = 53,891.10/x
  3. Step 3: Cross multiply
    96,903.82x = 133,734.46 × 53,891.10
  4. Step 4: Simplify right side
    96,903.82x = 7,207,096,488.63
  5. Step 5: Solve for x
    x = 7,207,096,488.63/96,903.82
  6. Step 6: Final answer
    x = 74,373.71

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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.