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Finding the Fourth Proportional to 43,350, 59,823 and 23,478

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Solution

The fourth proportional to 43,350, 59,823 and 23,478 is: 32,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,350 : 59,823 = 23,478 : x
  2. Step 2: Convert to fraction form
    43,350/59,823 = 23,478/x
  3. Step 3: Cross multiply
    43,350x = 59,823 × 23,478
  4. Step 4: Simplify right side
    43,350x = 1,404,524,394
  5. Step 5: Solve for x
    x = 1,404,524,394/43,350
  6. Step 6: Final answer
    x = 32,399.64

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