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Finding the Fourth Proportional to 96,258.78, 132,828.66 and 53,809.11

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Solution

The fourth proportional to 96,258.78, 132,828.66 and 53,809.11 is: 74,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258.78 : 132,828.66 = 53,809.11 : x
  2. Step 2: Convert to fraction form
    96,258.78/132,828.66 = 53,809.11/x
  3. Step 3: Cross multiply
    96,258.78x = 132,828.66 × 53,809.11
  4. Step 4: Simplify right side
    96,258.78x = 7,147,391,977.09
  5. Step 5: Solve for x
    x = 7,147,391,977.09/96,258.78
  6. Step 6: Final answer
    x = 74,251.84

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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.