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Finding the Fourth Proportional to 27,929.16, 41,900.44 and 8,207.28

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Solution

The fourth proportional to 27,929.16, 41,900.44 and 8,207.28 is: 12,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,929.16 : 41,900.44 = 8,207.28 : x
  2. Step 2: Convert to fraction form
    27,929.16/41,900.44 = 8,207.28/x
  3. Step 3: Cross multiply
    27,929.16x = 41,900.44 × 8,207.28
  4. Step 4: Simplify right side
    27,929.16x = 343,888,643.20
  5. Step 5: Solve for x
    x = 343,888,643.20/27,929.16
  6. Step 6: Final answer
    x = 12,312.89

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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.