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Finding the Fourth Proportional to 29,696.70, 44,549.10 and 10,972.20

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Solution

The fourth proportional to 29,696.70, 44,549.10 and 10,972.20 is: 16,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.70 : 44,549.10 = 10,972.20 : x
  2. Step 2: Convert to fraction form
    29,696.70/44,549.10 = 10,972.20/x
  3. Step 3: Cross multiply
    29,696.70x = 44,549.10 × 10,972.20
  4. Step 4: Simplify right side
    29,696.70x = 488,801,635.02
  5. Step 5: Solve for x
    x = 488,801,635.02/29,696.70
  6. Step 6: Final answer
    x = 16,459.80

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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.