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Finding the Fourth Proportional to 96,283.62, 132,872.40 and 53,844.48

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Solution

The fourth proportional to 96,283.62, 132,872.40 and 53,844.48 is: 74,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,283.62 : 132,872.40 = 53,844.48 : x
  2. Step 2: Convert to fraction form
    96,283.62/132,872.40 = 53,844.48/x
  3. Step 3: Cross multiply
    96,283.62x = 132,872.40 × 53,844.48
  4. Step 4: Simplify right side
    96,283.62x = 7,154,445,284.35
  5. Step 5: Solve for x
    x = 7,154,445,284.35/96,283.62
  6. Step 6: Final answer
    x = 74,305.94

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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.