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Finding the Fourth Proportional to 73,507.76, 110,298.12 and 29,133.56

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Solution

The fourth proportional to 73,507.76, 110,298.12 and 29,133.56 is: 43,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.76 : 110,298.12 = 29,133.56 : x
  2. Step 2: Convert to fraction form
    73,507.76/110,298.12 = 29,133.56/x
  3. Step 3: Cross multiply
    73,507.76x = 110,298.12 × 29,133.56
  4. Step 4: Simplify right side
    73,507.76x = 3,213,376,896.91
  5. Step 5: Solve for x
    x = 3,213,376,896.91/73,507.76
  6. Step 6: Final answer
    x = 43,714.80

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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.