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Finding the Fourth Proportional to 27,924.60, 41,892.30 and 8,203.80

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Solution

The fourth proportional to 27,924.60, 41,892.30 and 8,203.80 is: 12,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.60 : 41,892.30 = 8,203.80 : x
  2. Step 2: Convert to fraction form
    27,924.60/41,892.30 = 8,203.80/x
  3. Step 3: Cross multiply
    27,924.60x = 41,892.30 × 8,203.80
  4. Step 4: Simplify right side
    27,924.60x = 343,676,050.74
  5. Step 5: Solve for x
    x = 343,676,050.74/27,924.60
  6. Step 6: Final answer
    x = 12,307.29

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1.5x scale

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.