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Finding the Fourth Proportional to 29,401.64, 44,119.76 and 11,634

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Solution

The fourth proportional to 29,401.64, 44,119.76 and 11,634 is: 17,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401.64 : 44,119.76 = 11,634 : x
  2. Step 2: Convert to fraction form
    29,401.64/44,119.76 = 11,634/x
  3. Step 3: Cross multiply
    29,401.64x = 44,119.76 × 11,634
  4. Step 4: Simplify right side
    29,401.64x = 513,289,287.84
  5. Step 5: Solve for x
    x = 513,289,287.84/29,401.64
  6. Step 6: Final answer
    x = 17,457.85

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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.