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Finding the Fourth Proportional to 29,536, 40,759.68 and 16,288

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Solution

The fourth proportional to 29,536, 40,759.68 and 16,288 is: 22,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536 : 40,759.68 = 16,288 : x
  2. Step 2: Convert to fraction form
    29,536/40,759.68 = 16,288/x
  3. Step 3: Cross multiply
    29,536x = 40,759.68 × 16,288
  4. Step 4: Simplify right side
    29,536x = 663,893,667.84
  5. Step 5: Solve for x
    x = 663,893,667.84/29,536
  6. Step 6: Final answer
    x = 22,477.44

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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.