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Finding the Fourth Proportional to 31,562.98, 43,538.54 and 20,228.44

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Solution

The fourth proportional to 31,562.98, 43,538.54 and 20,228.44 is: 27,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.98 : 43,538.54 = 20,228.44 : x
  2. Step 2: Convert to fraction form
    31,562.98/43,538.54 = 20,228.44/x
  3. Step 3: Cross multiply
    31,562.98x = 43,538.54 × 20,228.44
  4. Step 4: Simplify right side
    31,562.98x = 880,716,744.08
  5. Step 5: Solve for x
    x = 880,716,744.08/31,562.98
  6. Step 6: Final answer
    x = 27,903.47

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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.