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Finding the Fourth Proportional to 29,383, 40,548.54 and 16,135

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Solution

The fourth proportional to 29,383, 40,548.54 and 16,135 is: 22,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383 : 40,548.54 = 16,135 : x
  2. Step 2: Convert to fraction form
    29,383/40,548.54 = 16,135/x
  3. Step 3: Cross multiply
    29,383x = 40,548.54 × 16,135
  4. Step 4: Simplify right side
    29,383x = 654,250,692.90
  5. Step 5: Solve for x
    x = 654,250,692.90/29,383
  6. Step 6: Final answer
    x = 22,266.30

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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.