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Finding the Fourth Proportional to 96,375.80, 144,558.30 and 29,815.40

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Solution

The fourth proportional to 96,375.80, 144,558.30 and 29,815.40 is: 44,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,375.80 : 144,558.30 = 29,815.40 : x
  2. Step 2: Convert to fraction form
    96,375.80/144,558.30 = 29,815.40/x
  3. Step 3: Cross multiply
    96,375.80x = 144,558.30 × 29,815.40
  4. Step 4: Simplify right side
    96,375.80x = 4,310,063,537.82
  5. Step 5: Solve for x
    x = 4,310,063,537.82/96,375.80
  6. Step 6: Final answer
    x = 44,721.43

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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.