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Finding the Fourth Proportional to 53,082.31, 73,245.22 and 30,416.94

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Solution

The fourth proportional to 53,082.31, 73,245.22 and 30,416.94 is: 41,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.31 : 73,245.22 = 30,416.94 : x
  2. Step 2: Convert to fraction form
    53,082.31/73,245.22 = 30,416.94/x
  3. Step 3: Cross multiply
    53,082.31x = 73,245.22 × 30,416.94
  4. Step 4: Simplify right side
    53,082.31x = 2,227,895,462.03
  5. Step 5: Solve for x
    x = 2,227,895,462.03/53,082.31
  6. Step 6: Final answer
    x = 41,970.58

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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.