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Finding the Fourth Proportional to 96,289.84, 132,886.38 and 53,845.84

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Solution

The fourth proportional to 96,289.84, 132,886.38 and 53,845.84 is: 74,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,289.84 : 132,886.38 = 53,845.84 : x
  2. Step 2: Convert to fraction form
    96,289.84/132,886.38 = 53,845.84/x
  3. Step 3: Cross multiply
    96,289.84x = 132,886.38 × 53,845.84
  4. Step 4: Simplify right side
    96,289.84x = 7,155,378,755.66
  5. Step 5: Solve for x
    x = 7,155,378,755.66/96,289.84
  6. Step 6: Final answer
    x = 74,310.84

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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.