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Finding the Fourth Proportional to 56,406.56, 77,841.12 and 31,256

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Solution

The fourth proportional to 56,406.56, 77,841.12 and 31,256 is: 43,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,406.56 : 77,841.12 = 31,256 : x
  2. Step 2: Convert to fraction form
    56,406.56/77,841.12 = 31,256/x
  3. Step 3: Cross multiply
    56,406.56x = 77,841.12 × 31,256
  4. Step 4: Simplify right side
    56,406.56x = 2,433,002,046.72
  5. Step 5: Solve for x
    x = 2,433,002,046.72/56,406.56
  6. Step 6: Final answer
    x = 43,133.32

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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.