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Finding the Fourth Proportional to 44,473.60, 66,704.64 and 16,768

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Solution

The fourth proportional to 44,473.60, 66,704.64 and 16,768 is: 25,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,473.60 : 66,704.64 = 16,768 : x
  2. Step 2: Convert to fraction form
    44,473.60/66,704.64 = 16,768/x
  3. Step 3: Cross multiply
    44,473.60x = 66,704.64 × 16,768
  4. Step 4: Simplify right side
    44,473.60x = 1,118,503,403.52
  5. Step 5: Solve for x
    x = 1,118,503,403.52/44,473.60
  6. Step 6: Final answer
    x = 25,149.83

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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.