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Finding the Fourth Proportional to 41,284.28, 61,926.42 and 16,643

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Solution

The fourth proportional to 41,284.28, 61,926.42 and 16,643 is: 24,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284.28 : 61,926.42 = 16,643 : x
  2. Step 2: Convert to fraction form
    41,284.28/61,926.42 = 16,643/x
  3. Step 3: Cross multiply
    41,284.28x = 61,926.42 × 16,643
  4. Step 4: Simplify right side
    41,284.28x = 1,030,641,408.06
  5. Step 5: Solve for x
    x = 1,030,641,408.06/41,284.28
  6. Step 6: Final answer
    x = 24,964.50

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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.