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Finding the Fourth Proportional to 27,029.48, 40,543.74 and 8,561

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Solution

The fourth proportional to 27,029.48, 40,543.74 and 8,561 is: 12,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.48 : 40,543.74 = 8,561 : x
  2. Step 2: Convert to fraction form
    27,029.48/40,543.74 = 8,561/x
  3. Step 3: Cross multiply
    27,029.48x = 40,543.74 × 8,561
  4. Step 4: Simplify right side
    27,029.48x = 347,094,958.14
  5. Step 5: Solve for x
    x = 347,094,958.14/27,029.48
  6. Step 6: Final answer
    x = 12,841.35

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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.