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Finding the Fourth Proportional to 27,730.64, 41,615.40 and 16,027.76

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Solution

The fourth proportional to 27,730.64, 41,615.40 and 16,027.76 is: 24,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.64 : 41,615.40 = 16,027.76 : x
  2. Step 2: Convert to fraction form
    27,730.64/41,615.40 = 16,027.76/x
  3. Step 3: Cross multiply
    27,730.64x = 41,615.40 × 16,027.76
  4. Step 4: Simplify right side
    27,730.64x = 667,001,643.50
  5. Step 5: Solve for x
    x = 667,001,643.50/27,730.64
  6. Step 6: Final answer
    x = 24,052.88

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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.