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Finding the Fourth Proportional to 53,003.72, 73,149.24 and 30,349.82

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Solution

The fourth proportional to 53,003.72, 73,149.24 and 30,349.82 is: 41,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,003.72 : 73,149.24 = 30,349.82 : x
  2. Step 2: Convert to fraction form
    53,003.72/73,149.24 = 30,349.82/x
  3. Step 3: Cross multiply
    53,003.72x = 73,149.24 × 30,349.82
  4. Step 4: Simplify right side
    53,003.72x = 2,220,066,267.14
  5. Step 5: Solve for x
    x = 2,220,066,267.14/53,003.72
  6. Step 6: Final answer
    x = 41,885.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.