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Finding the Fourth Proportional to 29,950.64, 44,937.60 and 12,416

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Solution

The fourth proportional to 29,950.64, 44,937.60 and 12,416 is: 18,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950.64 : 44,937.60 = 12,416 : x
  2. Step 2: Convert to fraction form
    29,950.64/44,937.60 = 12,416/x
  3. Step 3: Cross multiply
    29,950.64x = 44,937.60 × 12,416
  4. Step 4: Simplify right side
    29,950.64x = 557,945,241.60
  5. Step 5: Solve for x
    x = 557,945,241.60/29,950.64
  6. Step 6: Final answer
    x = 18,628.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.