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Finding the Fourth Proportional to 43,867, 65,807.34 and 14,277.85

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Solution

The fourth proportional to 43,867, 65,807.34 and 14,277.85 is: 21,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,867 : 65,807.34 = 14,277.85 : x
  2. Step 2: Convert to fraction form
    43,867/65,807.34 = 14,277.85/x
  3. Step 3: Cross multiply
    43,867x = 65,807.34 × 14,277.85
  4. Step 4: Simplify right side
    43,867x = 939,587,329.42
  5. Step 5: Solve for x
    x = 939,587,329.42/43,867
  6. Step 6: Final answer
    x = 21,419.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.