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Finding the Fourth Proportional to 27,112.60, 40,649.70 and 10,466.20

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Solution

The fourth proportional to 27,112.60, 40,649.70 and 10,466.20 is: 15,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112.60 : 40,649.70 = 10,466.20 : x
  2. Step 2: Convert to fraction form
    27,112.60/40,649.70 = 10,466.20/x
  3. Step 3: Cross multiply
    27,112.60x = 40,649.70 × 10,466.20
  4. Step 4: Simplify right side
    27,112.60x = 425,447,890.14
  5. Step 5: Solve for x
    x = 425,447,890.14/27,112.60
  6. Step 6: Final answer
    x = 15,691.89

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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.