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Finding the Fourth Proportional to 29,416.28, 44,124 and 7,229.45

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Solution

The fourth proportional to 29,416.28, 44,124 and 7,229.45 is: 10,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416.28 : 44,124 = 7,229.45 : x
  2. Step 2: Convert to fraction form
    29,416.28/44,124 = 7,229.45/x
  3. Step 3: Cross multiply
    29,416.28x = 44,124 × 7,229.45
  4. Step 4: Simplify right side
    29,416.28x = 318,992,031.18
  5. Step 5: Solve for x
    x = 318,992,031.18/29,416.28
  6. Step 6: Final answer
    x = 10,844.07

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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.