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Finding the Fourth Proportional to 55,382.68, 76,427.12 and 31,508.84

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Solution

The fourth proportional to 55,382.68, 76,427.12 and 31,508.84 is: 43,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.68 : 76,427.12 = 31,508.84 : x
  2. Step 2: Convert to fraction form
    55,382.68/76,427.12 = 31,508.84/x
  3. Step 3: Cross multiply
    55,382.68x = 76,427.12 × 31,508.84
  4. Step 4: Simplify right side
    55,382.68x = 2,408,129,929.26
  5. Step 5: Solve for x
    x = 2,408,129,929.26/55,382.68
  6. Step 6: Final answer
    x = 43,481.65

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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.