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Finding the Fourth Proportional to 30,461.94, 45,692.91 and 17,135.82

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Solution

The fourth proportional to 30,461.94, 45,692.91 and 17,135.82 is: 25,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.94 : 45,692.91 = 17,135.82 : x
  2. Step 2: Convert to fraction form
    30,461.94/45,692.91 = 17,135.82/x
  3. Step 3: Cross multiply
    30,461.94x = 45,692.91 × 17,135.82
  4. Step 4: Simplify right side
    30,461.94x = 782,985,481.04
  5. Step 5: Solve for x
    x = 782,985,481.04/30,461.94
  6. Step 6: Final answer
    x = 25,703.73

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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.