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Finding the Fourth Proportional to 29,962.60, 44,943.90 and 9,183.40

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Solution

The fourth proportional to 29,962.60, 44,943.90 and 9,183.40 is: 13,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.60 : 44,943.90 = 9,183.40 : x
  2. Step 2: Convert to fraction form
    29,962.60/44,943.90 = 9,183.40/x
  3. Step 3: Cross multiply
    29,962.60x = 44,943.90 × 9,183.40
  4. Step 4: Simplify right side
    29,962.60x = 412,737,811.26
  5. Step 5: Solve for x
    x = 412,737,811.26/29,962.60
  6. Step 6: Final answer
    x = 13,775.10

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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.