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Finding the Fourth Proportional to 31,618.69, 47,342.50 and 19,744.02

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Solution

The fourth proportional to 31,618.69, 47,342.50 and 19,744.02 is: 29,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,618.69 : 47,342.50 = 19,744.02 : x
  2. Step 2: Convert to fraction form
    31,618.69/47,342.50 = 19,744.02/x
  3. Step 3: Cross multiply
    31,618.69x = 47,342.50 × 19,744.02
  4. Step 4: Simplify right side
    31,618.69x = 934,731,217.49
  5. Step 5: Solve for x
    x = 934,731,217.49/31,618.69
  6. Step 6: Final answer
    x = 29,562.62

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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.