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Finding the Fourth Proportional to 43,420, 59,919.68 and 23,548

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Solution

The fourth proportional to 43,420, 59,919.68 and 23,548 is: 32,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,420 : 59,919.68 = 23,548 : x
  2. Step 2: Convert to fraction form
    43,420/59,919.68 = 23,548/x
  3. Step 3: Cross multiply
    43,420x = 59,919.68 × 23,548
  4. Step 4: Simplify right side
    43,420x = 1,410,988,624.64
  5. Step 5: Solve for x
    x = 1,410,988,624.64/43,420
  6. Step 6: Final answer
    x = 32,496.28

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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.