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Finding the Fourth Proportional to 31,709.61, 43,760.25 and 17,563.77

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Solution

The fourth proportional to 31,709.61, 43,760.25 and 17,563.77 is: 24,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.61 : 43,760.25 = 17,563.77 : x
  2. Step 2: Convert to fraction form
    31,709.61/43,760.25 = 17,563.77/x
  3. Step 3: Cross multiply
    31,709.61x = 43,760.25 × 17,563.77
  4. Step 4: Simplify right side
    31,709.61x = 768,594,966.14
  5. Step 5: Solve for x
    x = 768,594,966.14/31,709.61
  6. Step 6: Final answer
    x = 24,238.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.