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Finding the Fourth Proportional to 31,776.84, 43,851.60 and 17,629.74

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Solution

The fourth proportional to 31,776.84, 43,851.60 and 17,629.74 is: 24,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.84 : 43,851.60 = 17,629.74 : x
  2. Step 2: Convert to fraction form
    31,776.84/43,851.60 = 17,629.74/x
  3. Step 3: Cross multiply
    31,776.84x = 43,851.60 × 17,629.74
  4. Step 4: Simplify right side
    31,776.84x = 773,092,306.58
  5. Step 5: Solve for x
    x = 773,092,306.58/31,776.84
  6. Step 6: Final answer
    x = 24,328.80

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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.