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Finding the Fourth Proportional to 43,646.62, 65,498.64 and 23,939

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Solution

The fourth proportional to 43,646.62, 65,498.64 and 23,939 is: 35,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646.62 : 65,498.64 = 23,939 : x
  2. Step 2: Convert to fraction form
    43,646.62/65,498.64 = 23,939/x
  3. Step 3: Cross multiply
    43,646.62x = 65,498.64 × 23,939
  4. Step 4: Simplify right side
    43,646.62x = 1,567,971,942.96
  5. Step 5: Solve for x
    x = 1,567,971,942.96/43,646.62
  6. Step 6: Final answer
    x = 35,924.25

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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.