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Finding the Fourth Proportional to 31,412.72, 47,115.84 and 19,690.40

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Solution

The fourth proportional to 31,412.72, 47,115.84 and 19,690.40 is: 29,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.72 : 47,115.84 = 19,690.40 : x
  2. Step 2: Convert to fraction form
    31,412.72/47,115.84 = 19,690.40/x
  3. Step 3: Cross multiply
    31,412.72x = 47,115.84 × 19,690.40
  4. Step 4: Simplify right side
    31,412.72x = 927,729,735.94
  5. Step 5: Solve for x
    x = 927,729,735.94/31,412.72
  6. Step 6: Final answer
    x = 29,533.57

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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.