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Finding the Fourth Proportional to 27,854.34, 41,732.83 and 23,204.13

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Solution

The fourth proportional to 27,854.34, 41,732.83 and 23,204.13 is: 34,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.34 : 41,732.83 = 23,204.13 : x
  2. Step 2: Convert to fraction form
    27,854.34/41,732.83 = 23,204.13/x
  3. Step 3: Cross multiply
    27,854.34x = 41,732.83 × 23,204.13
  4. Step 4: Simplify right side
    27,854.34x = 968,374,012.59
  5. Step 5: Solve for x
    x = 968,374,012.59/27,854.34
  6. Step 6: Final answer
    x = 34,765.64

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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.