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Finding the Fourth Proportional to 56,241.28, 77,613 and 31,090.78

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Solution

The fourth proportional to 56,241.28, 77,613 and 31,090.78 is: 42,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,241.28 : 77,613 = 31,090.78 : x
  2. Step 2: Convert to fraction form
    56,241.28/77,613 = 31,090.78/x
  3. Step 3: Cross multiply
    56,241.28x = 77,613 × 31,090.78
  4. Step 4: Simplify right side
    56,241.28x = 2,413,048,708.14
  5. Step 5: Solve for x
    x = 2,413,048,708.14/56,241.28
  6. Step 6: Final answer
    x = 42,905.29

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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.