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Finding the Fourth Proportional to 96,342.44, 132,952.73 and 53,901

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Solution

The fourth proportional to 96,342.44, 132,952.73 and 53,901 is: 74,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342.44 : 132,952.73 = 53,901 : x
  2. Step 2: Convert to fraction form
    96,342.44/132,952.73 = 53,901/x
  3. Step 3: Cross multiply
    96,342.44x = 132,952.73 × 53,901
  4. Step 4: Simplify right side
    96,342.44x = 7,166,284,830.23
  5. Step 5: Solve for x
    x = 7,166,284,830.23/96,342.44
  6. Step 6: Final answer
    x = 74,383.47

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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.