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Finding the Fourth Proportional to 27,052.29, 40,581.68 and 9,523.89

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Solution

The fourth proportional to 27,052.29, 40,581.68 and 9,523.89 is: 14,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.29 : 40,581.68 = 9,523.89 : x
  2. Step 2: Convert to fraction form
    27,052.29/40,581.68 = 9,523.89/x
  3. Step 3: Cross multiply
    27,052.29x = 40,581.68 × 9,523.89
  4. Step 4: Simplify right side
    27,052.29x = 386,495,408.72
  5. Step 5: Solve for x
    x = 386,495,408.72/27,052.29
  6. Step 6: Final answer
    x = 14,286.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.