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Finding the Fourth Proportional to 55,494.32, 76,584.96 and 32,846.31

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Solution

The fourth proportional to 55,494.32, 76,584.96 and 32,846.31 is: 45,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494.32 : 76,584.96 = 32,846.31 : x
  2. Step 2: Convert to fraction form
    55,494.32/76,584.96 = 32,846.31/x
  3. Step 3: Cross multiply
    55,494.32x = 76,584.96 × 32,846.31
  4. Step 4: Simplify right side
    55,494.32x = 2,515,533,337.50
  5. Step 5: Solve for x
    x = 2,515,533,337.50/55,494.32
  6. Step 6: Final answer
    x = 45,329.57

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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.