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Finding the Fourth Proportional to 73,714.38, 101,725.91 and 40,180.38

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Solution

The fourth proportional to 73,714.38, 101,725.91 and 40,180.38 is: 55,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,714.38 : 101,725.91 = 40,180.38 : x
  2. Step 2: Convert to fraction form
    73,714.38/101,725.91 = 40,180.38/x
  3. Step 3: Cross multiply
    73,714.38x = 101,725.91 × 40,180.38
  4. Step 4: Simplify right side
    73,714.38x = 4,087,385,719.65
  5. Step 5: Solve for x
    x = 4,087,385,719.65/73,714.38
  6. Step 6: Final answer
    x = 55,448.96

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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.