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Finding the Fourth Proportional to 29,765.79, 44,649.03 and 7,579.14

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Solution

The fourth proportional to 29,765.79, 44,649.03 and 7,579.14 is: 11,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.79 : 44,649.03 = 7,579.14 : x
  2. Step 2: Convert to fraction form
    29,765.79/44,649.03 = 7,579.14/x
  3. Step 3: Cross multiply
    29,765.79x = 44,649.03 × 7,579.14
  4. Step 4: Simplify right side
    29,765.79x = 338,401,249.23
  5. Step 5: Solve for x
    x = 338,401,249.23/29,765.79
  6. Step 6: Final answer
    x = 11,368.80

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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.