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Finding the Fourth Proportional to 73,728.72, 110,629.13 and 34,313.31

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Solution

The fourth proportional to 73,728.72, 110,629.13 and 34,313.31 is: 51,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728.72 : 110,629.13 = 34,313.31 : x
  2. Step 2: Convert to fraction form
    73,728.72/110,629.13 = 34,313.31/x
  3. Step 3: Cross multiply
    73,728.72x = 110,629.13 × 34,313.31
  4. Step 4: Simplify right side
    73,728.72x = 3,796,051,461.15
  5. Step 5: Solve for x
    x = 3,796,051,461.15/73,728.72
  6. Step 6: Final answer
    x = 51,486.74

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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.