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Finding the Fourth Proportional to 57,309.80, 79,083.56 and 31,814.16

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Solution

The fourth proportional to 57,309.80, 79,083.56 and 31,814.16 is: 43,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.80 : 79,083.56 = 31,814.16 : x
  2. Step 2: Convert to fraction form
    57,309.80/79,083.56 = 31,814.16/x
  3. Step 3: Cross multiply
    57,309.80x = 79,083.56 × 31,814.16
  4. Step 4: Simplify right side
    57,309.80x = 2,515,977,031.21
  5. Step 5: Solve for x
    x = 2,515,977,031.21/57,309.80
  6. Step 6: Final answer
    x = 43,901.34

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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.