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Finding the Fourth Proportional to 31,776.57, 47,659.19 and 11,783.75

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Solution

The fourth proportional to 31,776.57, 47,659.19 and 11,783.75 is: 17,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.57 : 47,659.19 = 11,783.75 : x
  2. Step 2: Convert to fraction form
    31,776.57/47,659.19 = 11,783.75/x
  3. Step 3: Cross multiply
    31,776.57x = 47,659.19 × 11,783.75
  4. Step 4: Simplify right side
    31,776.57x = 561,603,682.95
  5. Step 5: Solve for x
    x = 561,603,682.95/31,776.57
  6. Step 6: Final answer
    x = 17,673.51

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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.