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Finding the Fourth Proportional to 73,509.66, 110,300.94 and 29,135.43

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Solution

The fourth proportional to 73,509.66, 110,300.94 and 29,135.43 is: 43,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,509.66 : 110,300.94 = 29,135.43 : x
  2. Step 2: Convert to fraction form
    73,509.66/110,300.94 = 29,135.43/x
  3. Step 3: Cross multiply
    73,509.66x = 110,300.94 × 29,135.43
  4. Step 4: Simplify right side
    73,509.66x = 3,213,665,316.30
  5. Step 5: Solve for x
    x = 3,213,665,316.30/73,509.66
  6. Step 6: Final answer
    x = 43,717.59

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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.