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Finding the Fourth Proportional to 27,670.02, 41,496.80 and 10,135.68

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Solution

The fourth proportional to 27,670.02, 41,496.80 and 10,135.68 is: 15,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.02 : 41,496.80 = 10,135.68 : x
  2. Step 2: Convert to fraction form
    27,670.02/41,496.80 = 10,135.68/x
  3. Step 3: Cross multiply
    27,670.02x = 41,496.80 × 10,135.68
  4. Step 4: Simplify right side
    27,670.02x = 420,598,235.15
  5. Step 5: Solve for x
    x = 420,598,235.15/27,670.02
  6. Step 6: Final answer
    x = 15,200.50

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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.