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Finding the Fourth Proportional to 57,314.34, 79,090.23 and 31,819.23

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Solution

The fourth proportional to 57,314.34, 79,090.23 and 31,819.23 is: 43,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314.34 : 79,090.23 = 31,819.23 : x
  2. Step 2: Convert to fraction form
    57,314.34/79,090.23 = 31,819.23/x
  3. Step 3: Cross multiply
    57,314.34x = 79,090.23 × 31,819.23
  4. Step 4: Simplify right side
    57,314.34x = 2,516,590,219.12
  5. Step 5: Solve for x
    x = 2,516,590,219.12/57,314.34
  6. Step 6: Final answer
    x = 43,908.56

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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.