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Finding the Fourth Proportional to 38,541, 57,823.17 and 27,318.06

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Solution

The fourth proportional to 38,541, 57,823.17 and 27,318.06 is: 40,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541 : 57,823.17 = 27,318.06 : x
  2. Step 2: Convert to fraction form
    38,541/57,823.17 = 27,318.06/x
  3. Step 3: Cross multiply
    38,541x = 57,823.17 × 27,318.06
  4. Step 4: Simplify right side
    38,541x = 1,579,616,827.45
  5. Step 5: Solve for x
    x = 1,579,616,827.45/38,541
  6. Step 6: Final answer
    x = 40,985.36

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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.