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Finding the Fourth Proportional to 31,776.72, 43,852.68 and 17,629.80

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Solution

The fourth proportional to 31,776.72, 43,852.68 and 17,629.80 is: 24,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.72 : 43,852.68 = 17,629.80 : x
  2. Step 2: Convert to fraction form
    31,776.72/43,852.68 = 17,629.80/x
  3. Step 3: Cross multiply
    31,776.72x = 43,852.68 × 17,629.80
  4. Step 4: Simplify right side
    31,776.72x = 773,113,977.86
  5. Step 5: Solve for x
    x = 773,113,977.86/31,776.72
  6. Step 6: Final answer
    x = 24,329.57

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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.