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Finding the Fourth Proportional to 29,692, 40,975.04 and 16,444

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Solution

The fourth proportional to 29,692, 40,975.04 and 16,444 is: 22,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692 : 40,975.04 = 16,444 : x
  2. Step 2: Convert to fraction form
    29,692/40,975.04 = 16,444/x
  3. Step 3: Cross multiply
    29,692x = 40,975.04 × 16,444
  4. Step 4: Simplify right side
    29,692x = 673,793,557.76
  5. Step 5: Solve for x
    x = 673,793,557.76/29,692
  6. Step 6: Final answer
    x = 22,692.76

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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.