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Finding the Fourth Proportional to 53,539.44, 73,889.64 and 31,182

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Solution

The fourth proportional to 53,539.44, 73,889.64 and 31,182 is: 43,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,539.44 : 73,889.64 = 31,182 : x
  2. Step 2: Convert to fraction form
    53,539.44/73,889.64 = 31,182/x
  3. Step 3: Cross multiply
    53,539.44x = 73,889.64 × 31,182
  4. Step 4: Simplify right side
    53,539.44x = 2,304,026,754.48
  5. Step 5: Solve for x
    x = 2,304,026,754.48/53,539.44
  6. Step 6: Final answer
    x = 43,034.20

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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.