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Finding the Fourth Proportional to 96,248.34, 144,394.38 and 36,295.38

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Solution

The fourth proportional to 96,248.34, 144,394.38 and 36,295.38 is: 54,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,248.34 : 144,394.38 = 36,295.38 : x
  2. Step 2: Convert to fraction form
    96,248.34/144,394.38 = 36,295.38/x
  3. Step 3: Cross multiply
    96,248.34x = 144,394.38 × 36,295.38
  4. Step 4: Simplify right side
    96,248.34x = 5,240,848,891.96
  5. Step 5: Solve for x
    x = 5,240,848,891.96/96,248.34
  6. Step 6: Final answer
    x = 54,451.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.