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Finding the Fourth Proportional to 57,242.82, 78,988.44 and 31,743

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Solution

The fourth proportional to 57,242.82, 78,988.44 and 31,743 is: 43,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.82 : 78,988.44 = 31,743 : x
  2. Step 2: Convert to fraction form
    57,242.82/78,988.44 = 31,743/x
  3. Step 3: Cross multiply
    57,242.82x = 78,988.44 × 31,743
  4. Step 4: Simplify right side
    57,242.82x = 2,507,330,050.92
  5. Step 5: Solve for x
    x = 2,507,330,050.92/57,242.82
  6. Step 6: Final answer
    x = 43,801.65

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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.