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Finding the Fourth Proportional to 96,269.14, 132,863.79 and 53,830

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Solution

The fourth proportional to 96,269.14, 132,863.79 and 53,830 is: 74,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,269.14 : 132,863.79 = 53,830 : x
  2. Step 2: Convert to fraction form
    96,269.14/132,863.79 = 53,830/x
  3. Step 3: Cross multiply
    96,269.14x = 132,863.79 × 53,830
  4. Step 4: Simplify right side
    96,269.14x = 7,152,057,815.70
  5. Step 5: Solve for x
    x = 7,152,057,815.70/96,269.14
  6. Step 6: Final answer
    x = 74,292.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.