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Finding the Fourth Proportional to 55,714.32, 76,887.36 and 31,842

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Solution

The fourth proportional to 55,714.32, 76,887.36 and 31,842 is: 43,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714.32 : 76,887.36 = 31,842 : x
  2. Step 2: Convert to fraction form
    55,714.32/76,887.36 = 31,842/x
  3. Step 3: Cross multiply
    55,714.32x = 76,887.36 × 31,842
  4. Step 4: Simplify right side
    55,714.32x = 2,448,247,317.12
  5. Step 5: Solve for x
    x = 2,448,247,317.12/55,714.32
  6. Step 6: Final answer
    x = 43,942.87

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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.