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Finding the Fourth Proportional to 43,768, 65,652.08 and 10,936

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Solution

The fourth proportional to 43,768, 65,652.08 and 10,936 is: 16,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 65,652.08 = 10,936 : x
  2. Step 2: Convert to fraction form
    43,768/65,652.08 = 10,936/x
  3. Step 3: Cross multiply
    43,768x = 65,652.08 × 10,936
  4. Step 4: Simplify right side
    43,768x = 717,971,146.88
  5. Step 5: Solve for x
    x = 717,971,146.88/43,768
  6. Step 6: Final answer
    x = 16,404.02

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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.