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Finding the Fourth Proportional to 27,002.71, 40,511.85 and 8,285.50

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Solution

The fourth proportional to 27,002.71, 40,511.85 and 8,285.50 is: 12,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.71 : 40,511.85 = 8,285.50 : x
  2. Step 2: Convert to fraction form
    27,002.71/40,511.85 = 8,285.50/x
  3. Step 3: Cross multiply
    27,002.71x = 40,511.85 × 8,285.50
  4. Step 4: Simplify right side
    27,002.71x = 335,660,933.18
  5. Step 5: Solve for x
    x = 335,660,933.18/27,002.71
  6. Step 6: Final answer
    x = 12,430.64

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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.