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Finding the Fourth Proportional to 27,005.50, 40,514.73 and 8,537.50

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Solution

The fourth proportional to 27,005.50, 40,514.73 and 8,537.50 is: 12,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.50 : 40,514.73 = 8,537.50 : x
  2. Step 2: Convert to fraction form
    27,005.50/40,514.73 = 8,537.50/x
  3. Step 3: Cross multiply
    27,005.50x = 40,514.73 × 8,537.50
  4. Step 4: Simplify right side
    27,005.50x = 345,894,507.38
  5. Step 5: Solve for x
    x = 345,894,507.38/27,005.50
  6. Step 6: Final answer
    x = 12,808.30

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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.