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Finding the Fourth Proportional to 31,699.96, 47,562.09 and 19,228.89

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Solution

The fourth proportional to 31,699.96, 47,562.09 and 19,228.89 is: 28,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.96 : 47,562.09 = 19,228.89 : x
  2. Step 2: Convert to fraction form
    31,699.96/47,562.09 = 19,228.89/x
  3. Step 3: Cross multiply
    31,699.96x = 47,562.09 × 19,228.89
  4. Step 4: Simplify right side
    31,699.96x = 914,566,303.03
  5. Step 5: Solve for x
    x = 914,566,303.03/31,699.96
  6. Step 6: Final answer
    x = 28,850.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.