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Finding the Fourth Proportional to 73,507.65, 110,297.94 and 29,133.42

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Solution

The fourth proportional to 73,507.65, 110,297.94 and 29,133.42 is: 43,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.65 : 110,297.94 = 29,133.42 : x
  2. Step 2: Convert to fraction form
    73,507.65/110,297.94 = 29,133.42/x
  3. Step 3: Cross multiply
    73,507.65x = 110,297.94 × 29,133.42
  4. Step 4: Simplify right side
    73,507.65x = 3,213,356,211.15
  5. Step 5: Solve for x
    x = 3,213,356,211.15/73,507.65
  6. Step 6: Final answer
    x = 43,714.58

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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.