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Finding the Fourth Proportional to 43,834.40, 65,708.40 and 21,651.20

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Solution

The fourth proportional to 43,834.40, 65,708.40 and 21,651.20 is: 32,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,834.40 : 65,708.40 = 21,651.20 : x
  2. Step 2: Convert to fraction form
    43,834.40/65,708.40 = 21,651.20/x
  3. Step 3: Cross multiply
    43,834.40x = 65,708.40 × 21,651.20
  4. Step 4: Simplify right side
    43,834.40x = 1,422,665,710.08
  5. Step 5: Solve for x
    x = 1,422,665,710.08/43,834.40
  6. Step 6: Final answer
    x = 32,455.46

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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.