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Finding the Fourth Proportional to 27,000.57, 40,498.03 and 7,277.92

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Solution

The fourth proportional to 27,000.57, 40,498.03 and 7,277.92 is: 10,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.57 : 40,498.03 = 7,277.92 : x
  2. Step 2: Convert to fraction form
    27,000.57/40,498.03 = 7,277.92/x
  3. Step 3: Cross multiply
    27,000.57x = 40,498.03 × 7,277.92
  4. Step 4: Simplify right side
    27,000.57x = 294,741,422.50
  5. Step 5: Solve for x
    x = 294,741,422.50/27,000.57
  6. Step 6: Final answer
    x = 10,916.12

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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.