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Finding the Fourth Proportional to 31,564.72, 47,343.84 and 19,842.40

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Solution

The fourth proportional to 31,564.72, 47,343.84 and 19,842.40 is: 29,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.72 : 47,343.84 = 19,842.40 : x
  2. Step 2: Convert to fraction form
    31,564.72/47,343.84 = 19,842.40/x
  3. Step 3: Cross multiply
    31,564.72x = 47,343.84 × 19,842.40
  4. Step 4: Simplify right side
    31,564.72x = 939,415,410.82
  5. Step 5: Solve for x
    x = 939,415,410.82/31,564.72
  6. Step 6: Final answer
    x = 29,761.56

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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.