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Finding the Fourth Proportional to 56,238.48, 77,605.20 and 31,086

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Solution

The fourth proportional to 56,238.48, 77,605.20 and 31,086 is: 42,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238.48 : 77,605.20 = 31,086 : x
  2. Step 2: Convert to fraction form
    56,238.48/77,605.20 = 31,086/x
  3. Step 3: Cross multiply
    56,238.48x = 77,605.20 × 31,086
  4. Step 4: Simplify right side
    56,238.48x = 2,412,435,247.20
  5. Step 5: Solve for x
    x = 2,412,435,247.20/56,238.48
  6. Step 6: Final answer
    x = 42,896.52

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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.