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Finding the Fourth Proportional to 43,689, 60,290.82 and 23,817

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Solution

The fourth proportional to 43,689, 60,290.82 and 23,817 is: 32,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,689 : 60,290.82 = 23,817 : x
  2. Step 2: Convert to fraction form
    43,689/60,290.82 = 23,817/x
  3. Step 3: Cross multiply
    43,689x = 60,290.82 × 23,817
  4. Step 4: Simplify right side
    43,689x = 1,435,946,459.94
  5. Step 5: Solve for x
    x = 1,435,946,459.94/43,689
  6. Step 6: Final answer
    x = 32,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.