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Finding the Fourth Proportional to 27,784.56, 41,668.14 and 8,064.48

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Solution

The fourth proportional to 27,784.56, 41,668.14 and 8,064.48 is: 12,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.56 : 41,668.14 = 8,064.48 : x
  2. Step 2: Convert to fraction form
    27,784.56/41,668.14 = 8,064.48/x
  3. Step 3: Cross multiply
    27,784.56x = 41,668.14 × 8,064.48
  4. Step 4: Simplify right side
    27,784.56x = 336,031,881.67
  5. Step 5: Solve for x
    x = 336,031,881.67/27,784.56
  6. Step 6: Final answer
    x = 12,094.19

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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.